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Finding the Fourth Proportional to 10,299, 15,445.46 and 3,278.73

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Solution

The fourth proportional to 10,299, 15,445.46 and 3,278.73 is: 4,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 15,445.46 = 3,278.73 : x
  2. Step 2: Convert to fraction form
    10,299/15,445.46 = 3,278.73/x
  3. Step 3: Cross multiply
    10,299x = 15,445.46 × 3,278.73
  4. Step 4: Simplify right side
    10,299x = 50,641,476.67
  5. Step 5: Solve for x
    x = 50,641,476.67/10,299
  6. Step 6: Final answer
    x = 4,917.13

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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.