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Finding the Fourth Proportional to 10,279.74, 15,398.72 and 8,203.26

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Solution

The fourth proportional to 10,279.74, 15,398.72 and 8,203.26 is: 12,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.74 : 15,398.72 = 8,203.26 : x
  2. Step 2: Convert to fraction form
    10,279.74/15,398.72 = 8,203.26/x
  3. Step 3: Cross multiply
    10,279.74x = 15,398.72 × 8,203.26
  4. Step 4: Simplify right side
    10,279.74x = 126,319,703.83
  5. Step 5: Solve for x
    x = 126,319,703.83/10,279.74
  6. Step 6: Final answer
    x = 12,288.22

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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.