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Finding the Fourth Proportional to 2,475.86, 3,715.66 and 916.81

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Solution

The fourth proportional to 2,475.86, 3,715.66 and 916.81 is: 1,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.86 : 3,715.66 = 916.81 : x
  2. Step 2: Convert to fraction form
    2,475.86/3,715.66 = 916.81/x
  3. Step 3: Cross multiply
    2,475.86x = 3,715.66 × 916.81
  4. Step 4: Simplify right side
    2,475.86x = 3,406,560.04
  5. Step 5: Solve for x
    x = 3,406,560.04/2,475.86
  6. Step 6: Final answer
    x = 1,375.91

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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.