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Finding the Fourth Proportional to 2,475.73, 3,715.05 and 916.84

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Solution

The fourth proportional to 2,475.73, 3,715.05 and 916.84 is: 1,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.73 : 3,715.05 = 916.84 : x
  2. Step 2: Convert to fraction form
    2,475.73/3,715.05 = 916.84/x
  3. Step 3: Cross multiply
    2,475.73x = 3,715.05 × 916.84
  4. Step 4: Simplify right side
    2,475.73x = 3,406,106.44
  5. Step 5: Solve for x
    x = 3,406,106.44/2,475.73
  6. Step 6: Final answer
    x = 1,375.80

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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.