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Finding the Fourth Proportional to 10,057.65, 13,879.19 and 5,581.59

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Solution

The fourth proportional to 10,057.65, 13,879.19 and 5,581.59 is: 7,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.65 : 13,879.19 = 5,581.59 : x
  2. Step 2: Convert to fraction form
    10,057.65/13,879.19 = 5,581.59/x
  3. Step 3: Cross multiply
    10,057.65x = 13,879.19 × 5,581.59
  4. Step 4: Simplify right side
    10,057.65x = 77,467,920.20
  5. Step 5: Solve for x
    x = 77,467,920.20/10,057.65
  6. Step 6: Final answer
    x = 7,702.39

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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.