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Finding the Fourth Proportional to 1,587.93, 2,191.31 and 889.30

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Solution

The fourth proportional to 1,587.93, 2,191.31 and 889.30 is: 1,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.93 : 2,191.31 = 889.30 : x
  2. Step 2: Convert to fraction form
    1,587.93/2,191.31 = 889.30/x
  3. Step 3: Cross multiply
    1,587.93x = 2,191.31 × 889.30
  4. Step 4: Simplify right side
    1,587.93x = 1,948,731.98
  5. Step 5: Solve for x
    x = 1,948,731.98/1,587.93
  6. Step 6: Final answer
    x = 1,227.22

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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.