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Finding the Fourth Proportional to 7,149.92, 9,868.08 and 4,167.50

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Solution

The fourth proportional to 7,149.92, 9,868.08 and 4,167.50 is: 5,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.92 : 9,868.08 = 4,167.50 : x
  2. Step 2: Convert to fraction form
    7,149.92/9,868.08 = 4,167.50/x
  3. Step 3: Cross multiply
    7,149.92x = 9,868.08 × 4,167.50
  4. Step 4: Simplify right side
    7,149.92x = 41,125,174.06
  5. Step 5: Solve for x
    x = 41,125,174.06/7,149.92
  6. Step 6: Final answer
    x = 5,751.84

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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.