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Finding the Fourth Proportional to 1,387.42, 1,914.81 and 889.88

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Solution

The fourth proportional to 1,387.42, 1,914.81 and 889.88 is: 1,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.42 : 1,914.81 = 889.88 : x
  2. Step 2: Convert to fraction form
    1,387.42/1,914.81 = 889.88/x
  3. Step 3: Cross multiply
    1,387.42x = 1,914.81 × 889.88
  4. Step 4: Simplify right side
    1,387.42x = 1,703,937.10
  5. Step 5: Solve for x
    x = 1,703,937.10/1,387.42
  6. Step 6: Final answer
    x = 1,228.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.