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Finding the Fourth Proportional to 3,521.78, 5,283.68 and 1,764.67

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Solution

The fourth proportional to 3,521.78, 5,283.68 and 1,764.67 is: 2,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.78 : 5,283.68 = 1,764.67 : x
  2. Step 2: Convert to fraction form
    3,521.78/5,283.68 = 1,764.67/x
  3. Step 3: Cross multiply
    3,521.78x = 5,283.68 × 1,764.67
  4. Step 4: Simplify right side
    3,521.78x = 9,323,929.55
  5. Step 5: Solve for x
    x = 9,323,929.55/3,521.78
  6. Step 6: Final answer
    x = 2,647.50

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Half scale
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Double scale
Find fourth proportional to 3,522.78, 5,285.18 and 1,765.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.