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Finding the Fourth Proportional to 2,130.88, 3,177.20 and 2,092

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Solution

The fourth proportional to 2,130.88, 3,177.20 and 2,092 is: 3,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.88 : 3,177.20 = 2,092 : x
  2. Step 2: Convert to fraction form
    2,130.88/3,177.20 = 2,092/x
  3. Step 3: Cross multiply
    2,130.88x = 3,177.20 × 2,092
  4. Step 4: Simplify right side
    2,130.88x = 6,646,702.40
  5. Step 5: Solve for x
    x = 6,646,702.40/2,130.88
  6. Step 6: Final answer
    x = 3,119.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.