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Finding the Fourth Proportional to 7,152.83, 9,870.49 and 4,169.15

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Solution

The fourth proportional to 7,152.83, 9,870.49 and 4,169.15 is: 5,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.83 : 9,870.49 = 4,169.15 : x
  2. Step 2: Convert to fraction form
    7,152.83/9,870.49 = 4,169.15/x
  3. Step 3: Cross multiply
    7,152.83x = 9,870.49 × 4,169.15
  4. Step 4: Simplify right side
    7,152.83x = 41,151,553.38
  5. Step 5: Solve for x
    x = 41,151,553.38/7,152.83
  6. Step 6: Final answer
    x = 5,753.18

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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.