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Finding the Fourth Proportional to 15,985.60, 23,978.60 and 8,964.52

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Solution

The fourth proportional to 15,985.60, 23,978.60 and 8,964.52 is: 13,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.60 : 23,978.60 = 8,964.52 : x
  2. Step 2: Convert to fraction form
    15,985.60/23,978.60 = 8,964.52/x
  3. Step 3: Cross multiply
    15,985.60x = 23,978.60 × 8,964.52
  4. Step 4: Simplify right side
    15,985.60x = 214,956,639.27
  5. Step 5: Solve for x
    x = 214,956,639.27/15,985.60
  6. Step 6: Final answer
    x = 13,446.89

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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.