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Finding the Fourth Proportional to 7,654.57, 10,563.82 and 5,140.87

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Solution

The fourth proportional to 7,654.57, 10,563.82 and 5,140.87 is: 7,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.57 : 10,563.82 = 5,140.87 : x
  2. Step 2: Convert to fraction form
    7,654.57/10,563.82 = 5,140.87/x
  3. Step 3: Cross multiply
    7,654.57x = 10,563.82 × 5,140.87
  4. Step 4: Simplify right side
    7,654.57x = 54,307,186.06
  5. Step 5: Solve for x
    x = 54,307,186.06/7,654.57
  6. Step 6: Final answer
    x = 7,094.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.