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Finding the Fourth Proportional to 5,188.48, 7,780.14 and 2,412.88

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Solution

The fourth proportional to 5,188.48, 7,780.14 and 2,412.88 is: 3,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.48 : 7,780.14 = 2,412.88 : x
  2. Step 2: Convert to fraction form
    5,188.48/7,780.14 = 2,412.88/x
  3. Step 3: Cross multiply
    5,188.48x = 7,780.14 × 2,412.88
  4. Step 4: Simplify right side
    5,188.48x = 18,772,544.20
  5. Step 5: Solve for x
    x = 18,772,544.20/5,188.48
  6. Step 6: Final answer
    x = 3,618.12

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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.