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Finding the Fourth Proportional to 7,724.70, 10,660.03 and 4,187.90

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Solution

The fourth proportional to 7,724.70, 10,660.03 and 4,187.90 is: 5,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.70 : 10,660.03 = 4,187.90 : x
  2. Step 2: Convert to fraction form
    7,724.70/10,660.03 = 4,187.90/x
  3. Step 3: Cross multiply
    7,724.70x = 10,660.03 × 4,187.90
  4. Step 4: Simplify right side
    7,724.70x = 44,643,155.82
  5. Step 5: Solve for x
    x = 44,643,155.82/7,724.70
  6. Step 6: Final answer
    x = 5,779.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.