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Finding the Fourth Proportional to 9,159.78, 13,739.70 and 2,234.22

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Solution

The fourth proportional to 9,159.78, 13,739.70 and 2,234.22 is: 3,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.78 : 13,739.70 = 2,234.22 : x
  2. Step 2: Convert to fraction form
    9,159.78/13,739.70 = 2,234.22/x
  3. Step 3: Cross multiply
    9,159.78x = 13,739.70 × 2,234.22
  4. Step 4: Simplify right side
    9,159.78x = 30,697,512.53
  5. Step 5: Solve for x
    x = 30,697,512.53/9,159.78
  6. Step 6: Final answer
    x = 3,351.34

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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.