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Finding the Fourth Proportional to 2,656.14, 3,984.21 and 807.27

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Solution

The fourth proportional to 2,656.14, 3,984.21 and 807.27 is: 1,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.14 : 3,984.21 = 807.27 : x
  2. Step 2: Convert to fraction form
    2,656.14/3,984.21 = 807.27/x
  3. Step 3: Cross multiply
    2,656.14x = 3,984.21 × 807.27
  4. Step 4: Simplify right side
    2,656.14x = 3,216,333.21
  5. Step 5: Solve for x
    x = 3,216,333.21/2,656.14
  6. Step 6: Final answer
    x = 1,210.91

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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.