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Finding the Fourth Proportional to 15,148.68, 20,905.99 and 8,434.90

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Solution

The fourth proportional to 15,148.68, 20,905.99 and 8,434.90 is: 11,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.68 : 20,905.99 = 8,434.90 : x
  2. Step 2: Convert to fraction form
    15,148.68/20,905.99 = 8,434.90/x
  3. Step 3: Cross multiply
    15,148.68x = 20,905.99 × 8,434.90
  4. Step 4: Simplify right side
    15,148.68x = 176,339,935.05
  5. Step 5: Solve for x
    x = 176,339,935.05/15,148.68
  6. Step 6: Final answer
    x = 11,640.61

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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.