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Finding the Fourth Proportional to 2,891.52, 3,985.64 and 2,260.96

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Solution

The fourth proportional to 2,891.52, 3,985.64 and 2,260.96 is: 3,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.52 : 3,985.64 = 2,260.96 : x
  2. Step 2: Convert to fraction form
    2,891.52/3,985.64 = 2,260.96/x
  3. Step 3: Cross multiply
    2,891.52x = 3,985.64 × 2,260.96
  4. Step 4: Simplify right side
    2,891.52x = 9,011,372.61
  5. Step 5: Solve for x
    x = 9,011,372.61/2,891.52
  6. Step 6: Final answer
    x = 3,116.48

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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.