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Finding the Fourth Proportional to 1,865.13, 2,797.69 and 711.15

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Solution

The fourth proportional to 1,865.13, 2,797.69 and 711.15 is: 1,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.13 : 2,797.69 = 711.15 : x
  2. Step 2: Convert to fraction form
    1,865.13/2,797.69 = 711.15/x
  3. Step 3: Cross multiply
    1,865.13x = 2,797.69 × 711.15
  4. Step 4: Simplify right side
    1,865.13x = 1,989,577.24
  5. Step 5: Solve for x
    x = 1,989,577.24/1,865.13
  6. Step 6: Final answer
    x = 1,066.72

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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.