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Finding the Fourth Proportional to 1,587.81, 2,381.47 and 547.65

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Solution

The fourth proportional to 1,587.81, 2,381.47 and 547.65 is: 821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.81 : 2,381.47 = 547.65 : x
  2. Step 2: Convert to fraction form
    1,587.81/2,381.47 = 547.65/x
  3. Step 3: Cross multiply
    1,587.81x = 2,381.47 × 547.65
  4. Step 4: Simplify right side
    1,587.81x = 1,304,212.05
  5. Step 5: Solve for x
    x = 1,304,212.05/1,587.81
  6. Step 6: Final answer
    x = 821.39

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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.