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Finding the Fourth Proportional to 5,167.60, 7,696.68 and 5,142.42

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Solution

The fourth proportional to 5,167.60, 7,696.68 and 5,142.42 is: 7,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.60 : 7,696.68 = 5,142.42 : x
  2. Step 2: Convert to fraction form
    5,167.60/7,696.68 = 5,142.42/x
  3. Step 3: Cross multiply
    5,167.60x = 7,696.68 × 5,142.42
  4. Step 4: Simplify right side
    5,167.60x = 39,579,561.17
  5. Step 5: Solve for x
    x = 39,579,561.17/5,167.60
  6. Step 6: Final answer
    x = 7,659.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.