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Finding the Fourth Proportional to 16,290, 24,435.27 and 6,429.20

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Solution

The fourth proportional to 16,290, 24,435.27 and 6,429.20 is: 9,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290 : 24,435.27 = 6,429.20 : x
  2. Step 2: Convert to fraction form
    16,290/24,435.27 = 6,429.20/x
  3. Step 3: Cross multiply
    16,290x = 24,435.27 × 6,429.20
  4. Step 4: Simplify right side
    16,290x = 157,099,115.71
  5. Step 5: Solve for x
    x = 157,099,115.71/16,290
  6. Step 6: Final answer
    x = 9,643.90

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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.