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Finding the Fourth Proportional to 3,147.49, 4,342.71 and 1,821.12

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Solution

The fourth proportional to 3,147.49, 4,342.71 and 1,821.12 is: 2,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.49 : 4,342.71 = 1,821.12 : x
  2. Step 2: Convert to fraction form
    3,147.49/4,342.71 = 1,821.12/x
  3. Step 3: Cross multiply
    3,147.49x = 4,342.71 × 1,821.12
  4. Step 4: Simplify right side
    3,147.49x = 7,908,596.04
  5. Step 5: Solve for x
    x = 7,908,596.04/3,147.49
  6. Step 6: Final answer
    x = 2,512.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.