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Finding the Fourth Proportional to 1,871.64, 2,807.46 and 775.27

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Solution

The fourth proportional to 1,871.64, 2,807.46 and 775.27 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.64 : 2,807.46 = 775.27 : x
  2. Step 2: Convert to fraction form
    1,871.64/2,807.46 = 775.27/x
  3. Step 3: Cross multiply
    1,871.64x = 2,807.46 × 775.27
  4. Step 4: Simplify right side
    1,871.64x = 2,176,543.02
  5. Step 5: Solve for x
    x = 2,176,543.02/1,871.64
  6. Step 6: Final answer
    x = 1,162.91

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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.