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Finding the Fourth Proportional to 19,842.70, 29,750.70 and 10,472.80

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Solution

The fourth proportional to 19,842.70, 29,750.70 and 10,472.80 is: 15,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.70 : 29,750.70 = 10,472.80 : x
  2. Step 2: Convert to fraction form
    19,842.70/29,750.70 = 10,472.80/x
  3. Step 3: Cross multiply
    19,842.70x = 29,750.70 × 10,472.80
  4. Step 4: Simplify right side
    19,842.70x = 311,573,130.96
  5. Step 5: Solve for x
    x = 311,573,130.96/19,842.70
  6. Step 6: Final answer
    x = 15,702.15

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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.