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Finding the Fourth Proportional to 15,897.60, 23,827.20 and 8,102.40

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Solution

The fourth proportional to 15,897.60, 23,827.20 and 8,102.40 is: 12,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.60 : 23,827.20 = 8,102.40 : x
  2. Step 2: Convert to fraction form
    15,897.60/23,827.20 = 8,102.40/x
  3. Step 3: Cross multiply
    15,897.60x = 23,827.20 × 8,102.40
  4. Step 4: Simplify right side
    15,897.60x = 193,057,505.28
  5. Step 5: Solve for x
    x = 193,057,505.28/15,897.60
  6. Step 6: Final answer
    x = 12,143.81

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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.