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Finding the Fourth Proportional to 20,496, 30,751.29 and 10,115.04

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Solution

The fourth proportional to 20,496, 30,751.29 and 10,115.04 is: 15,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496 : 30,751.29 = 10,115.04 : x
  2. Step 2: Convert to fraction form
    20,496/30,751.29 = 10,115.04/x
  3. Step 3: Cross multiply
    20,496x = 30,751.29 × 10,115.04
  4. Step 4: Simplify right side
    20,496x = 311,050,528.40
  5. Step 5: Solve for x
    x = 311,050,528.40/20,496
  6. Step 6: Final answer
    x = 15,176.16

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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.