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Finding the Fourth Proportional to 1,549.84, 2,139.78 and 961

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Solution

The fourth proportional to 1,549.84, 2,139.78 and 961 is: 1,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.84 : 2,139.78 = 961 : x
  2. Step 2: Convert to fraction form
    1,549.84/2,139.78 = 961/x
  3. Step 3: Cross multiply
    1,549.84x = 2,139.78 × 961
  4. Step 4: Simplify right side
    1,549.84x = 2,056,328.58
  5. Step 5: Solve for x
    x = 2,056,328.58/1,549.84
  6. Step 6: Final answer
    x = 1,326.80

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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.