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Finding the Fourth Proportional to 10,117.84, 15,177.60 and 3,097.68

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Solution

The fourth proportional to 10,117.84, 15,177.60 and 3,097.68 is: 4,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.84 : 15,177.60 = 3,097.68 : x
  2. Step 2: Convert to fraction form
    10,117.84/15,177.60 = 3,097.68/x
  3. Step 3: Cross multiply
    10,117.84x = 15,177.60 × 3,097.68
  4. Step 4: Simplify right side
    10,117.84x = 47,015,347.97
  5. Step 5: Solve for x
    x = 47,015,347.97/10,117.84
  6. Step 6: Final answer
    x = 4,646.78

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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.