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Finding the Fourth Proportional to 3,381.17, 5,071.88 and 916.01

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Solution

The fourth proportional to 3,381.17, 5,071.88 and 916.01 is: 1,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.17 : 5,071.88 = 916.01 : x
  2. Step 2: Convert to fraction form
    3,381.17/5,071.88 = 916.01/x
  3. Step 3: Cross multiply
    3,381.17x = 5,071.88 × 916.01
  4. Step 4: Simplify right side
    3,381.17x = 4,645,862.86
  5. Step 5: Solve for x
    x = 4,645,862.86/3,381.17
  6. Step 6: Final answer
    x = 1,374.04

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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.