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Finding the Fourth Proportional to 15,200.80, 22,794.36 and 6,431.20

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Solution

The fourth proportional to 15,200.80, 22,794.36 and 6,431.20 is: 9,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.80 : 22,794.36 = 6,431.20 : x
  2. Step 2: Convert to fraction form
    15,200.80/22,794.36 = 6,431.20/x
  3. Step 3: Cross multiply
    15,200.80x = 22,794.36 × 6,431.20
  4. Step 4: Simplify right side
    15,200.80x = 146,595,088.03
  5. Step 5: Solve for x
    x = 146,595,088.03/15,200.80
  6. Step 6: Final answer
    x = 9,643.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.