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Finding the Fourth Proportional to 2,655.97, 3,984.11 and 807.15

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Solution

The fourth proportional to 2,655.97, 3,984.11 and 807.15 is: 1,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.97 : 3,984.11 = 807.15 : x
  2. Step 2: Convert to fraction form
    2,655.97/3,984.11 = 807.15/x
  3. Step 3: Cross multiply
    2,655.97x = 3,984.11 × 807.15
  4. Step 4: Simplify right side
    2,655.97x = 3,215,774.39
  5. Step 5: Solve for x
    x = 3,215,774.39/2,655.97
  6. Step 6: Final answer
    x = 1,210.77

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.