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Finding the Fourth Proportional to 10,472.49, 15,714.81 and 7,999.97

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Solution

The fourth proportional to 10,472.49, 15,714.81 and 7,999.97 is: 12,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.49 : 15,714.81 = 7,999.97 : x
  2. Step 2: Convert to fraction form
    10,472.49/15,714.81 = 7,999.97/x
  3. Step 3: Cross multiply
    10,472.49x = 15,714.81 × 7,999.97
  4. Step 4: Simplify right side
    10,472.49x = 125,717,929.98
  5. Step 5: Solve for x
    x = 125,717,929.98/10,472.49
  6. Step 6: Final answer
    x = 12,004.59

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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.