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Finding the Fourth Proportional to 5,807.52, 8,712 and 1,910.88

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Solution

The fourth proportional to 5,807.52, 8,712 and 1,910.88 is: 2,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.52 : 8,712 = 1,910.88 : x
  2. Step 2: Convert to fraction form
    5,807.52/8,712 = 1,910.88/x
  3. Step 3: Cross multiply
    5,807.52x = 8,712 × 1,910.88
  4. Step 4: Simplify right side
    5,807.52x = 16,647,586.56
  5. Step 5: Solve for x
    x = 16,647,586.56/5,807.52
  6. Step 6: Final answer
    x = 2,866.56

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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.