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Finding the Fourth Proportional to 5,715.88, 8,575.34 and 2,429.16

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Solution

The fourth proportional to 5,715.88, 8,575.34 and 2,429.16 is: 3,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.88 : 8,575.34 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    5,715.88/8,575.34 = 2,429.16/x
  3. Step 3: Cross multiply
    5,715.88x = 8,575.34 × 2,429.16
  4. Step 4: Simplify right side
    5,715.88x = 20,830,872.91
  5. Step 5: Solve for x
    x = 20,830,872.91/5,715.88
  6. Step 6: Final answer
    x = 3,644.39

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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.