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Finding the Fourth Proportional to 5,760.60, 8,642.26 and 1,865

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Solution

The fourth proportional to 5,760.60, 8,642.26 and 1,865 is: 2,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.60 : 8,642.26 = 1,865 : x
  2. Step 2: Convert to fraction form
    5,760.60/8,642.26 = 1,865/x
  3. Step 3: Cross multiply
    5,760.60x = 8,642.26 × 1,865
  4. Step 4: Simplify right side
    5,760.60x = 16,117,814.90
  5. Step 5: Solve for x
    x = 16,117,814.90/5,760.60
  6. Step 6: Final answer
    x = 2,797.94

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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.