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Finding the Fourth Proportional to 1,866.17, 2,797.42 and 771.30

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Solution

The fourth proportional to 1,866.17, 2,797.42 and 771.30 is: 1,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.17 : 2,797.42 = 771.30 : x
  2. Step 2: Convert to fraction form
    1,866.17/2,797.42 = 771.30/x
  3. Step 3: Cross multiply
    1,866.17x = 2,797.42 × 771.30
  4. Step 4: Simplify right side
    1,866.17x = 2,157,650.05
  5. Step 5: Solve for x
    x = 2,157,650.05/1,866.17
  6. Step 6: Final answer
    x = 1,156.19

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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.