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Finding the Fourth Proportional to 16,452, 22,704.08 and 9,000.16

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Solution

The fourth proportional to 16,452, 22,704.08 and 9,000.16 is: 12,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452 : 22,704.08 = 9,000.16 : x
  2. Step 2: Convert to fraction form
    16,452/22,704.08 = 9,000.16/x
  3. Step 3: Cross multiply
    16,452x = 22,704.08 × 9,000.16
  4. Step 4: Simplify right side
    16,452x = 204,340,352.65
  5. Step 5: Solve for x
    x = 204,340,352.65/16,452
  6. Step 6: Final answer
    x = 12,420.40

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1.5x scale

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.