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Finding the Fourth Proportional to 8,780.40, 13,199.40 and 6,201.20

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Solution

The fourth proportional to 8,780.40, 13,199.40 and 6,201.20 is: 9,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.40 : 13,199.40 = 6,201.20 : x
  2. Step 2: Convert to fraction form
    8,780.40/13,199.40 = 6,201.20/x
  3. Step 3: Cross multiply
    8,780.40x = 13,199.40 × 6,201.20
  4. Step 4: Simplify right side
    8,780.40x = 81,852,119.28
  5. Step 5: Solve for x
    x = 81,852,119.28/8,780.40
  6. Step 6: Final answer
    x = 9,322.14

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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.