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Finding the Fourth Proportional to 1,871.52, 2,805.64 and 775.20

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Solution

The fourth proportional to 1,871.52, 2,805.64 and 775.20 is: 1,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.52 : 2,805.64 = 775.20 : x
  2. Step 2: Convert to fraction form
    1,871.52/2,805.64 = 775.20/x
  3. Step 3: Cross multiply
    1,871.52x = 2,805.64 × 775.20
  4. Step 4: Simplify right side
    1,871.52x = 2,174,932.13
  5. Step 5: Solve for x
    x = 2,174,932.13/1,871.52
  6. Step 6: Final answer
    x = 1,162.12

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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.