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Finding the Fourth Proportional to 15,210.80, 22,819.80 and 7,816.40

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Solution

The fourth proportional to 15,210.80, 22,819.80 and 7,816.40 is: 11,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210.80 : 22,819.80 = 7,816.40 : x
  2. Step 2: Convert to fraction form
    15,210.80/22,819.80 = 7,816.40/x
  3. Step 3: Cross multiply
    15,210.80x = 22,819.80 × 7,816.40
  4. Step 4: Simplify right side
    15,210.80x = 178,368,684.72
  5. Step 5: Solve for x
    x = 178,368,684.72/15,210.80
  6. Step 6: Final answer
    x = 11,726.45

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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.