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Finding the Fourth Proportional to 16,454.40, 24,645.12 and 13,538.40

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Solution

The fourth proportional to 16,454.40, 24,645.12 and 13,538.40 is: 20,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.40 : 24,645.12 = 13,538.40 : x
  2. Step 2: Convert to fraction form
    16,454.40/24,645.12 = 13,538.40/x
  3. Step 3: Cross multiply
    16,454.40x = 24,645.12 × 13,538.40
  4. Step 4: Simplify right side
    16,454.40x = 333,655,492.61
  5. Step 5: Solve for x
    x = 333,655,492.61/16,454.40
  6. Step 6: Final answer
    x = 20,277.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.