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Finding the Fourth Proportional to 7,148.59, 9,865.60 and 4,124.25

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Solution

The fourth proportional to 7,148.59, 9,865.60 and 4,124.25 is: 5,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.59 : 9,865.60 = 4,124.25 : x
  2. Step 2: Convert to fraction form
    7,148.59/9,865.60 = 4,124.25/x
  3. Step 3: Cross multiply
    7,148.59x = 9,865.60 × 4,124.25
  4. Step 4: Simplify right side
    7,148.59x = 40,688,190.49
  5. Step 5: Solve for x
    x = 40,688,190.49/7,148.59
  6. Step 6: Final answer
    x = 5,691.78

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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.