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Finding the Fourth Proportional to 27,748, 38,282.88 and 15,802.92

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Solution

The fourth proportional to 27,748, 38,282.88 and 15,802.92 is: 21,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748 : 38,282.88 = 15,802.92 : x
  2. Step 2: Convert to fraction form
    27,748/38,282.88 = 15,802.92/x
  3. Step 3: Cross multiply
    27,748x = 38,282.88 × 15,802.92
  4. Step 4: Simplify right side
    27,748x = 604,981,290.01
  5. Step 5: Solve for x
    x = 604,981,290.01/27,748
  6. Step 6: Final answer
    x = 21,802.70

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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.