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Finding the Fourth Proportional to 2,475.75, 3,713.71 and 916.15

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Solution

The fourth proportional to 2,475.75, 3,713.71 and 916.15 is: 1,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.75 : 3,713.71 = 916.15 : x
  2. Step 2: Convert to fraction form
    2,475.75/3,713.71 = 916.15/x
  3. Step 3: Cross multiply
    2,475.75x = 3,713.71 × 916.15
  4. Step 4: Simplify right side
    2,475.75x = 3,402,311.49
  5. Step 5: Solve for x
    x = 3,402,311.49/2,475.75
  6. Step 6: Final answer
    x = 1,374.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.