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Finding the Fourth Proportional to 3,614.79, 5,421.13 and 1,534.78

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Solution

The fourth proportional to 3,614.79, 5,421.13 and 1,534.78 is: 2,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.79 : 5,421.13 = 1,534.78 : x
  2. Step 2: Convert to fraction form
    3,614.79/5,421.13 = 1,534.78/x
  3. Step 3: Cross multiply
    3,614.79x = 5,421.13 × 1,534.78
  4. Step 4: Simplify right side
    3,614.79x = 8,320,244.84
  5. Step 5: Solve for x
    x = 8,320,244.84/3,614.79
  6. Step 6: Final answer
    x = 2,301.72

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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.