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Finding the Fourth Proportional to 2,805.49, 3,870.88 and 1,742.77

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Solution

The fourth proportional to 2,805.49, 3,870.88 and 1,742.77 is: 2,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.49 : 3,870.88 = 1,742.77 : x
  2. Step 2: Convert to fraction form
    2,805.49/3,870.88 = 1,742.77/x
  3. Step 3: Cross multiply
    2,805.49x = 3,870.88 × 1,742.77
  4. Step 4: Simplify right side
    2,805.49x = 6,746,053.54
  5. Step 5: Solve for x
    x = 6,746,053.54/2,805.49
  6. Step 6: Final answer
    x = 2,404.59

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1.5x scale

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.