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Finding the Fourth Proportional to 25,909.60, 38,835.60 and 14,231.20

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Solution

The fourth proportional to 25,909.60, 38,835.60 and 14,231.20 is: 21,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.60 : 38,835.60 = 14,231.20 : x
  2. Step 2: Convert to fraction form
    25,909.60/38,835.60 = 14,231.20/x
  3. Step 3: Cross multiply
    25,909.60x = 38,835.60 × 14,231.20
  4. Step 4: Simplify right side
    25,909.60x = 552,677,190.72
  5. Step 5: Solve for x
    x = 552,677,190.72/25,909.60
  6. Step 6: Final answer
    x = 21,330.98

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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.