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Finding the Fourth Proportional to 1,877.92, 2,816.80 and 1,113.28

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Solution

The fourth proportional to 1,877.92, 2,816.80 and 1,113.28 is: 1,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.92 : 2,816.80 = 1,113.28 : x
  2. Step 2: Convert to fraction form
    1,877.92/2,816.80 = 1,113.28/x
  3. Step 3: Cross multiply
    1,877.92x = 2,816.80 × 1,113.28
  4. Step 4: Simplify right side
    1,877.92x = 3,135,887.10
  5. Step 5: Solve for x
    x = 3,135,887.10/1,877.92
  6. Step 6: Final answer
    x = 1,669.87

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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.