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Finding the Fourth Proportional to 3,502.17, 5,255.43 and 1,312.41

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Solution

The fourth proportional to 3,502.17, 5,255.43 and 1,312.41 is: 1,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.17 : 5,255.43 = 1,312.41 : x
  2. Step 2: Convert to fraction form
    3,502.17/5,255.43 = 1,312.41/x
  3. Step 3: Cross multiply
    3,502.17x = 5,255.43 × 1,312.41
  4. Step 4: Simplify right side
    3,502.17x = 6,897,278.89
  5. Step 5: Solve for x
    x = 6,897,278.89/3,502.17
  6. Step 6: Final answer
    x = 1,969.43

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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.