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Finding the Fourth Proportional to 2,516, 3,773.28 and 1,055.12

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Solution

The fourth proportional to 2,516, 3,773.28 and 1,055.12 is: 1,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516 : 3,773.28 = 1,055.12 : x
  2. Step 2: Convert to fraction form
    2,516/3,773.28 = 1,055.12/x
  3. Step 3: Cross multiply
    2,516x = 3,773.28 × 1,055.12
  4. Step 4: Simplify right side
    2,516x = 3,981,263.19
  5. Step 5: Solve for x
    x = 3,981,263.19/2,516
  6. Step 6: Final answer
    x = 1,582.38

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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.