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Finding the Fourth Proportional to 15,097.15, 20,834.75 and 8,382.89

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Solution

The fourth proportional to 15,097.15, 20,834.75 and 8,382.89 is: 11,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.15 : 20,834.75 = 8,382.89 : x
  2. Step 2: Convert to fraction form
    15,097.15/20,834.75 = 8,382.89/x
  3. Step 3: Cross multiply
    15,097.15x = 20,834.75 × 8,382.89
  4. Step 4: Simplify right side
    15,097.15x = 174,655,490.47
  5. Step 5: Solve for x
    x = 174,655,490.47/15,097.15
  6. Step 6: Final answer
    x = 11,568.77

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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.