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Finding the Fourth Proportional to 1,957.79, 2,702.12 and 1,161.55

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Solution

The fourth proportional to 1,957.79, 2,702.12 and 1,161.55 is: 1,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.79 : 2,702.12 = 1,161.55 : x
  2. Step 2: Convert to fraction form
    1,957.79/2,702.12 = 1,161.55/x
  3. Step 3: Cross multiply
    1,957.79x = 2,702.12 × 1,161.55
  4. Step 4: Simplify right side
    1,957.79x = 3,138,649.12
  5. Step 5: Solve for x
    x = 3,138,649.12/1,957.79
  6. Step 6: Final answer
    x = 1,603.16

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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.