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Finding the Fourth Proportional to 22,493.60, 31,040.40 and 12,421.88

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Solution

The fourth proportional to 22,493.60, 31,040.40 and 12,421.88 is: 17,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.60 : 31,040.40 = 12,421.88 : x
  2. Step 2: Convert to fraction form
    22,493.60/31,040.40 = 12,421.88/x
  3. Step 3: Cross multiply
    22,493.60x = 31,040.40 × 12,421.88
  4. Step 4: Simplify right side
    22,493.60x = 385,580,123.95
  5. Step 5: Solve for x
    x = 385,580,123.95/22,493.60
  6. Step 6: Final answer
    x = 17,141.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.