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Finding the Fourth Proportional to 5,191.92, 7,750.90 and 5,009.66

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Solution

The fourth proportional to 5,191.92, 7,750.90 and 5,009.66 is: 7,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.92 : 7,750.90 = 5,009.66 : x
  2. Step 2: Convert to fraction form
    5,191.92/7,750.90 = 5,009.66/x
  3. Step 3: Cross multiply
    5,191.92x = 7,750.90 × 5,009.66
  4. Step 4: Simplify right side
    5,191.92x = 38,829,348.65
  5. Step 5: Solve for x
    x = 38,829,348.65/5,191.92
  6. Step 6: Final answer
    x = 7,478.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.