Home / 5,188.32-7,780.05-2,269.08

Finding the Fourth Proportional to 5,188.32, 7,780.05 and 2,269.08

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Solution

The fourth proportional to 5,188.32, 7,780.05 and 2,269.08 is: 3,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.32 : 7,780.05 = 2,269.08 : x
  2. Step 2: Convert to fraction form
    5,188.32/7,780.05 = 2,269.08/x
  3. Step 3: Cross multiply
    5,188.32x = 7,780.05 × 2,269.08
  4. Step 4: Simplify right side
    5,188.32x = 17,653,555.85
  5. Step 5: Solve for x
    x = 17,653,555.85/5,188.32
  6. Step 6: Final answer
    x = 3,402.56

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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.