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Finding the Fourth Proportional to 18,432, 25,427.40 and 12,465.76

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Solution

The fourth proportional to 18,432, 25,427.40 and 12,465.76 is: 17,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 25,427.40 = 12,465.76 : x
  2. Step 2: Convert to fraction form
    18,432/25,427.40 = 12,465.76/x
  3. Step 3: Cross multiply
    18,432x = 25,427.40 × 12,465.76
  4. Step 4: Simplify right side
    18,432x = 316,971,865.82
  5. Step 5: Solve for x
    x = 316,971,865.82/18,432
  6. Step 6: Final answer
    x = 17,196.82

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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.