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Finding the Fourth Proportional to 8,975.70, 12,380.31 and 5,434.38

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Solution

The fourth proportional to 8,975.70, 12,380.31 and 5,434.38 is: 7,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.70 : 12,380.31 = 5,434.38 : x
  2. Step 2: Convert to fraction form
    8,975.70/12,380.31 = 5,434.38/x
  3. Step 3: Cross multiply
    8,975.70x = 12,380.31 × 5,434.38
  4. Step 4: Simplify right side
    8,975.70x = 67,279,309.06
  5. Step 5: Solve for x
    x = 67,279,309.06/8,975.70
  6. Step 6: Final answer
    x = 7,495.72

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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.