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Finding the Fourth Proportional to 10,057.78, 13,879.07 and 5,581.38

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Solution

The fourth proportional to 10,057.78, 13,879.07 and 5,581.38 is: 7,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.78 : 13,879.07 = 5,581.38 : x
  2. Step 2: Convert to fraction form
    10,057.78/13,879.07 = 5,581.38/x
  3. Step 3: Cross multiply
    10,057.78x = 13,879.07 × 5,581.38
  4. Step 4: Simplify right side
    10,057.78x = 77,464,363.72
  5. Step 5: Solve for x
    x = 77,464,363.72/10,057.78
  6. Step 6: Final answer
    x = 7,701.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.