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Finding the Fourth Proportional to 5,098.96, 7,648.70 and 1,591.36

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Solution

The fourth proportional to 5,098.96, 7,648.70 and 1,591.36 is: 2,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.96 : 7,648.70 = 1,591.36 : x
  2. Step 2: Convert to fraction form
    5,098.96/7,648.70 = 1,591.36/x
  3. Step 3: Cross multiply
    5,098.96x = 7,648.70 × 1,591.36
  4. Step 4: Simplify right side
    5,098.96x = 12,171,835.23
  5. Step 5: Solve for x
    x = 12,171,835.23/5,098.96
  6. Step 6: Final answer
    x = 2,387.12

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