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Finding the Fourth Proportional to 15,002.65, 20,704.08 and 8,197.12

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Solution

The fourth proportional to 15,002.65, 20,704.08 and 8,197.12 is: 11,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.65 : 20,704.08 = 8,197.12 : x
  2. Step 2: Convert to fraction form
    15,002.65/20,704.08 = 8,197.12/x
  3. Step 3: Cross multiply
    15,002.65x = 20,704.08 × 8,197.12
  4. Step 4: Simplify right side
    15,002.65x = 169,713,828.25
  5. Step 5: Solve for x
    x = 169,713,828.25/15,002.65
  6. Step 6: Final answer
    x = 11,312.26

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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.