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Finding the Fourth Proportional to 7,113.67, 10,644.68 and 5,143.24

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Solution

The fourth proportional to 7,113.67, 10,644.68 and 5,143.24 is: 7,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.67 : 10,644.68 = 5,143.24 : x
  2. Step 2: Convert to fraction form
    7,113.67/10,644.68 = 5,143.24/x
  3. Step 3: Cross multiply
    7,113.67x = 10,644.68 × 5,143.24
  4. Step 4: Simplify right side
    7,113.67x = 54,748,170.13
  5. Step 5: Solve for x
    x = 54,748,170.13/7,113.67
  6. Step 6: Final answer
    x = 7,696.19

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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.