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Finding the Fourth Proportional to 1,874.49, 2,811.10 and 887.16

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Solution

The fourth proportional to 1,874.49, 2,811.10 and 887.16 is: 1,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.49 : 2,811.10 = 887.16 : x
  2. Step 2: Convert to fraction form
    1,874.49/2,811.10 = 887.16/x
  3. Step 3: Cross multiply
    1,874.49x = 2,811.10 × 887.16
  4. Step 4: Simplify right side
    1,874.49x = 2,493,895.48
  5. Step 5: Solve for x
    x = 2,493,895.48/1,874.49
  6. Step 6: Final answer
    x = 1,330.44

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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.