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Finding the Fourth Proportional to 15,920.90, 23,875.09 and 5,388.02

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Solution

The fourth proportional to 15,920.90, 23,875.09 and 5,388.02 is: 8,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.90 : 23,875.09 = 5,388.02 : x
  2. Step 2: Convert to fraction form
    15,920.90/23,875.09 = 5,388.02/x
  3. Step 3: Cross multiply
    15,920.90x = 23,875.09 × 5,388.02
  4. Step 4: Simplify right side
    15,920.90x = 128,639,462.42
  5. Step 5: Solve for x
    x = 128,639,462.42/15,920.90
  6. Step 6: Final answer
    x = 8,079.91

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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.