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Finding the Fourth Proportional to 15,983.04, 23,978.40 and 7,660.68

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Solution

The fourth proportional to 15,983.04, 23,978.40 and 7,660.68 is: 11,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.04 : 23,978.40 = 7,660.68 : x
  2. Step 2: Convert to fraction form
    15,983.04/23,978.40 = 7,660.68/x
  3. Step 3: Cross multiply
    15,983.04x = 23,978.40 × 7,660.68
  4. Step 4: Simplify right side
    15,983.04x = 183,690,849.31
  5. Step 5: Solve for x
    x = 183,690,849.31/15,983.04
  6. Step 6: Final answer
    x = 11,492.86

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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.