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Finding the Fourth Proportional to 5,098.40, 7,647.60 and 1,400.65

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Solution

The fourth proportional to 5,098.40, 7,647.60 and 1,400.65 is: 2,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.40 : 7,647.60 = 1,400.65 : x
  2. Step 2: Convert to fraction form
    5,098.40/7,647.60 = 1,400.65/x
  3. Step 3: Cross multiply
    5,098.40x = 7,647.60 × 1,400.65
  4. Step 4: Simplify right side
    5,098.40x = 10,711,591.82
  5. Step 5: Solve for x
    x = 10,711,591.82/5,098.40
  6. Step 6: Final answer
    x = 2,100.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.