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Finding the Fourth Proportional to 2,746, 3,788.13 and 1,862.08

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Solution

The fourth proportional to 2,746, 3,788.13 and 1,862.08 is: 2,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 3,788.13 = 1,862.08 : x
  2. Step 2: Convert to fraction form
    2,746/3,788.13 = 1,862.08/x
  3. Step 3: Cross multiply
    2,746x = 3,788.13 × 1,862.08
  4. Step 4: Simplify right side
    2,746x = 7,053,801.11
  5. Step 5: Solve for x
    x = 7,053,801.11/2,746
  6. Step 6: Final answer
    x = 2,568.75

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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.