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Finding the Fourth Proportional to 10,220.66, 15,320.10 and 5,828.66

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Solution

The fourth proportional to 10,220.66, 15,320.10 and 5,828.66 is: 8,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.66 : 15,320.10 = 5,828.66 : x
  2. Step 2: Convert to fraction form
    10,220.66/15,320.10 = 5,828.66/x
  3. Step 3: Cross multiply
    10,220.66x = 15,320.10 × 5,828.66
  4. Step 4: Simplify right side
    10,220.66x = 89,295,654.07
  5. Step 5: Solve for x
    x = 89,295,654.07/10,220.66
  6. Step 6: Final answer
    x = 8,736.78

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1.5x scale

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.