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Finding the Fourth Proportional to 2,104.97, 2,904.95 and 1,265.72

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Solution

The fourth proportional to 2,104.97, 2,904.95 and 1,265.72 is: 1,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.97 : 2,904.95 = 1,265.72 : x
  2. Step 2: Convert to fraction form
    2,104.97/2,904.95 = 1,265.72/x
  3. Step 3: Cross multiply
    2,104.97x = 2,904.95 × 1,265.72
  4. Step 4: Simplify right side
    2,104.97x = 3,676,841.95
  5. Step 5: Solve for x
    x = 3,676,841.95/2,104.97
  6. Step 6: Final answer
    x = 1,746.75

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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.