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Finding the Fourth Proportional to 1,412.11, 2,118.03 and 487.45

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Solution

The fourth proportional to 1,412.11, 2,118.03 and 487.45 is: 731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.11 : 2,118.03 = 487.45 : x
  2. Step 2: Convert to fraction form
    1,412.11/2,118.03 = 487.45/x
  3. Step 3: Cross multiply
    1,412.11x = 2,118.03 × 487.45
  4. Step 4: Simplify right side
    1,412.11x = 1,032,433.72
  5. Step 5: Solve for x
    x = 1,032,433.72/1,412.11
  6. Step 6: Final answer
    x = 731.13

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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.