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Finding the Fourth Proportional to 8,472.86, 11,663.97 and 7,287.02

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Solution

The fourth proportional to 8,472.86, 11,663.97 and 7,287.02 is: 10,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.86 : 11,663.97 = 7,287.02 : x
  2. Step 2: Convert to fraction form
    8,472.86/11,663.97 = 7,287.02/x
  3. Step 3: Cross multiply
    8,472.86x = 11,663.97 × 7,287.02
  4. Step 4: Simplify right side
    8,472.86x = 84,995,582.67
  5. Step 5: Solve for x
    x = 84,995,582.67/8,472.86
  6. Step 6: Final answer
    x = 10,031.51

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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.