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Finding the Fourth Proportional to 2,750.71, 4,127.01 and 803.20

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Solution

The fourth proportional to 2,750.71, 4,127.01 and 803.20 is: 1,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.71 : 4,127.01 = 803.20 : x
  2. Step 2: Convert to fraction form
    2,750.71/4,127.01 = 803.20/x
  3. Step 3: Cross multiply
    2,750.71x = 4,127.01 × 803.20
  4. Step 4: Simplify right side
    2,750.71x = 3,314,814.43
  5. Step 5: Solve for x
    x = 3,314,814.43/2,750.71
  6. Step 6: Final answer
    x = 1,205.08

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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.