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Finding the Fourth Proportional to 5,097.92, 7,646.78 and 1,400.13

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Solution

The fourth proportional to 5,097.92, 7,646.78 and 1,400.13 is: 2,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.92 : 7,646.78 = 1,400.13 : x
  2. Step 2: Convert to fraction form
    5,097.92/7,646.78 = 1,400.13/x
  3. Step 3: Cross multiply
    5,097.92x = 7,646.78 × 1,400.13
  4. Step 4: Simplify right side
    5,097.92x = 10,706,489.58
  5. Step 5: Solve for x
    x = 10,706,489.58/5,097.92
  6. Step 6: Final answer
    x = 2,100.17

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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.