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Finding the Fourth Proportional to 15,624, 23,443.68 and 11,949.60

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Solution

The fourth proportional to 15,624, 23,443.68 and 11,949.60 is: 17,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624 : 23,443.68 = 11,949.60 : x
  2. Step 2: Convert to fraction form
    15,624/23,443.68 = 11,949.60/x
  3. Step 3: Cross multiply
    15,624x = 23,443.68 × 11,949.60
  4. Step 4: Simplify right side
    15,624x = 280,142,598.53
  5. Step 5: Solve for x
    x = 280,142,598.53/15,624
  6. Step 6: Final answer
    x = 17,930.27

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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.