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Finding the Fourth Proportional to 2,545.76, 3,818.68 and 815.60

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Solution

The fourth proportional to 2,545.76, 3,818.68 and 815.60 is: 1,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.76 : 3,818.68 = 815.60 : x
  2. Step 2: Convert to fraction form
    2,545.76/3,818.68 = 815.60/x
  3. Step 3: Cross multiply
    2,545.76x = 3,818.68 × 815.60
  4. Step 4: Simplify right side
    2,545.76x = 3,114,515.41
  5. Step 5: Solve for x
    x = 3,114,515.41/2,545.76
  6. Step 6: Final answer
    x = 1,223.41

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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.