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Finding the Fourth Proportional to 2,731.42, 4,097.22 and 975.88

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Solution

The fourth proportional to 2,731.42, 4,097.22 and 975.88 is: 1,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.42 : 4,097.22 = 975.88 : x
  2. Step 2: Convert to fraction form
    2,731.42/4,097.22 = 975.88/x
  3. Step 3: Cross multiply
    2,731.42x = 4,097.22 × 975.88
  4. Step 4: Simplify right side
    2,731.42x = 3,998,395.05
  5. Step 5: Solve for x
    x = 3,998,395.05/2,731.42
  6. Step 6: Final answer
    x = 1,463.85

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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.