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Finding the Fourth Proportional to 10,101.78, 15,152.70 and 3,945.78

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Solution

The fourth proportional to 10,101.78, 15,152.70 and 3,945.78 is: 5,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.78 : 15,152.70 = 3,945.78 : x
  2. Step 2: Convert to fraction form
    10,101.78/15,152.70 = 3,945.78/x
  3. Step 3: Cross multiply
    10,101.78x = 15,152.70 × 3,945.78
  4. Step 4: Simplify right side
    10,101.78x = 59,789,220.61
  5. Step 5: Solve for x
    x = 59,789,220.61/10,101.78
  6. Step 6: Final answer
    x = 5,918.68

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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.