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Finding the Fourth Proportional to 15,997.60, 23,985.60 and 8,502.40

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Solution

The fourth proportional to 15,997.60, 23,985.60 and 8,502.40 is: 12,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.60 : 23,985.60 = 8,502.40 : x
  2. Step 2: Convert to fraction form
    15,997.60/23,985.60 = 8,502.40/x
  3. Step 3: Cross multiply
    15,997.60x = 23,985.60 × 8,502.40
  4. Step 4: Simplify right side
    15,997.60x = 203,935,165.44
  5. Step 5: Solve for x
    x = 203,935,165.44/15,997.60
  6. Step 6: Final answer
    x = 12,747.86

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1.5x scale

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.