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Finding the Fourth Proportional to 2,377.65, 3,566.21 and 916.68

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Solution

The fourth proportional to 2,377.65, 3,566.21 and 916.68 is: 1,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.65 : 3,566.21 = 916.68 : x
  2. Step 2: Convert to fraction form
    2,377.65/3,566.21 = 916.68/x
  3. Step 3: Cross multiply
    2,377.65x = 3,566.21 × 916.68
  4. Step 4: Simplify right side
    2,377.65x = 3,269,068.80
  5. Step 5: Solve for x
    x = 3,269,068.80/2,377.65
  6. Step 6: Final answer
    x = 1,374.92

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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.