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Finding the Fourth Proportional to 1,561.41, 2,342.12 and 987.93

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Solution

The fourth proportional to 1,561.41, 2,342.12 and 987.93 is: 1,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.41 : 2,342.12 = 987.93 : x
  2. Step 2: Convert to fraction form
    1,561.41/2,342.12 = 987.93/x
  3. Step 3: Cross multiply
    1,561.41x = 2,342.12 × 987.93
  4. Step 4: Simplify right side
    1,561.41x = 2,313,845.67
  5. Step 5: Solve for x
    x = 2,313,845.67/1,561.41
  6. Step 6: Final answer
    x = 1,481.90

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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.