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Finding the Fourth Proportional to 16,281.16, 24,378 and 13,394.32

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Solution

The fourth proportional to 16,281.16, 24,378 and 13,394.32 is: 20,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.16 : 24,378 = 13,394.32 : x
  2. Step 2: Convert to fraction form
    16,281.16/24,378 = 13,394.32/x
  3. Step 3: Cross multiply
    16,281.16x = 24,378 × 13,394.32
  4. Step 4: Simplify right side
    16,281.16x = 326,526,732.96
  5. Step 5: Solve for x
    x = 326,526,732.96/16,281.16
  6. Step 6: Final answer
    x = 20,055.50

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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.