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Finding the Fourth Proportional to 8,721.17, 13,081.76 and 2,565.17

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Solution

The fourth proportional to 8,721.17, 13,081.76 and 2,565.17 is: 3,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.17 : 13,081.76 = 2,565.17 : x
  2. Step 2: Convert to fraction form
    8,721.17/13,081.76 = 2,565.17/x
  3. Step 3: Cross multiply
    8,721.17x = 13,081.76 × 2,565.17
  4. Step 4: Simplify right side
    8,721.17x = 33,556,925.47
  5. Step 5: Solve for x
    x = 33,556,925.47/8,721.17
  6. Step 6: Final answer
    x = 3,847.76

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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.