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Finding the Fourth Proportional to 47,082.70, 70,634.90 and 13,805.32

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Solution

The fourth proportional to 47,082.70, 70,634.90 and 13,805.32 is: 20,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082.70 : 70,634.90 = 13,805.32 : x
  2. Step 2: Convert to fraction form
    47,082.70/70,634.90 = 13,805.32/x
  3. Step 3: Cross multiply
    47,082.70x = 70,634.90 × 13,805.32
  4. Step 4: Simplify right side
    47,082.70x = 975,137,397.67
  5. Step 5: Solve for x
    x = 975,137,397.67/47,082.70
  6. Step 6: Final answer
    x = 20,711.16

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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.