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Finding the Fourth Proportional to 5,626.50, 8,440.74 and 1,929.12

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Solution

The fourth proportional to 5,626.50, 8,440.74 and 1,929.12 is: 2,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.50 : 8,440.74 = 1,929.12 : x
  2. Step 2: Convert to fraction form
    5,626.50/8,440.74 = 1,929.12/x
  3. Step 3: Cross multiply
    5,626.50x = 8,440.74 × 1,929.12
  4. Step 4: Simplify right side
    5,626.50x = 16,283,200.35
  5. Step 5: Solve for x
    x = 16,283,200.35/5,626.50
  6. Step 6: Final answer
    x = 2,894.02

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Half scale
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Double scale
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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.