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Finding the Fourth Proportional to 2,139.07, 2,945.05 and 1,862.95

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Solution

The fourth proportional to 2,139.07, 2,945.05 and 1,862.95 is: 2,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.07 : 2,945.05 = 1,862.95 : x
  2. Step 2: Convert to fraction form
    2,139.07/2,945.05 = 1,862.95/x
  3. Step 3: Cross multiply
    2,139.07x = 2,945.05 × 1,862.95
  4. Step 4: Simplify right side
    2,139.07x = 5,486,480.90
  5. Step 5: Solve for x
    x = 5,486,480.90/2,139.07
  6. Step 6: Final answer
    x = 2,564.89

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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.