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Finding the Fourth Proportional to 15,486.47, 21,371.72 and 8,772

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Solution

The fourth proportional to 15,486.47, 21,371.72 and 8,772 is: 12,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.47 : 21,371.72 = 8,772 : x
  2. Step 2: Convert to fraction form
    15,486.47/21,371.72 = 8,772/x
  3. Step 3: Cross multiply
    15,486.47x = 21,371.72 × 8,772
  4. Step 4: Simplify right side
    15,486.47x = 187,472,727.84
  5. Step 5: Solve for x
    x = 187,472,727.84/15,486.47
  6. Step 6: Final answer
    x = 12,105.58

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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.