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Finding the Fourth Proportional to 15,476, 21,357.69 and 9,102.92

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Solution

The fourth proportional to 15,476, 21,357.69 and 9,102.92 is: 12,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476 : 21,357.69 = 9,102.92 : x
  2. Step 2: Convert to fraction form
    15,476/21,357.69 = 9,102.92/x
  3. Step 3: Cross multiply
    15,476x = 21,357.69 × 9,102.92
  4. Step 4: Simplify right side
    15,476x = 194,417,343.45
  5. Step 5: Solve for x
    x = 194,417,343.45/15,476
  6. Step 6: Final answer
    x = 12,562.51

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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.