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Finding the Fourth Proportional to 5,230.40, 7,789.76 and 5,169.92

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Solution

The fourth proportional to 5,230.40, 7,789.76 and 5,169.92 is: 7,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.40 : 7,789.76 = 5,169.92 : x
  2. Step 2: Convert to fraction form
    5,230.40/7,789.76 = 5,169.92/x
  3. Step 3: Cross multiply
    5,230.40x = 7,789.76 × 5,169.92
  4. Step 4: Simplify right side
    5,230.40x = 40,272,436.02
  5. Step 5: Solve for x
    x = 40,272,436.02/5,230.40
  6. Step 6: Final answer
    x = 7,699.69

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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.