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Finding the Fourth Proportional to 5,715.29, 8,542.52 and 4,968.87

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Solution

The fourth proportional to 5,715.29, 8,542.52 and 4,968.87 is: 7,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.29 : 8,542.52 = 4,968.87 : x
  2. Step 2: Convert to fraction form
    5,715.29/8,542.52 = 4,968.87/x
  3. Step 3: Cross multiply
    5,715.29x = 8,542.52 × 4,968.87
  4. Step 4: Simplify right side
    5,715.29x = 42,446,646.51
  5. Step 5: Solve for x
    x = 42,446,646.51/5,715.29
  6. Step 6: Final answer
    x = 7,426.86

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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.