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Finding the Fourth Proportional to 5,260.50, 7,891.90 and 1,562.99

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Solution

The fourth proportional to 5,260.50, 7,891.90 and 1,562.99 is: 2,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.50 : 7,891.90 = 1,562.99 : x
  2. Step 2: Convert to fraction form
    5,260.50/7,891.90 = 1,562.99/x
  3. Step 3: Cross multiply
    5,260.50x = 7,891.90 × 1,562.99
  4. Step 4: Simplify right side
    5,260.50x = 12,334,917.41
  5. Step 5: Solve for x
    x = 12,334,917.41/5,260.50
  6. Step 6: Final answer
    x = 2,344.82

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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.