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Finding the Fourth Proportional to 4,655.68, 6,983.36 and 2,191.68

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Solution

The fourth proportional to 4,655.68, 6,983.36 and 2,191.68 is: 3,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.68 : 6,983.36 = 2,191.68 : x
  2. Step 2: Convert to fraction form
    4,655.68/6,983.36 = 2,191.68/x
  3. Step 3: Cross multiply
    4,655.68x = 6,983.36 × 2,191.68
  4. Step 4: Simplify right side
    4,655.68x = 15,305,290.44
  5. Step 5: Solve for x
    x = 15,305,290.44/4,655.68
  6. Step 6: Final answer
    x = 3,287.44

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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.