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Finding the Fourth Proportional to 12,159.74, 18,239.88 and 6,313.16

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Solution

The fourth proportional to 12,159.74, 18,239.88 and 6,313.16 is: 9,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.74 : 18,239.88 = 6,313.16 : x
  2. Step 2: Convert to fraction form
    12,159.74/18,239.88 = 6,313.16/x
  3. Step 3: Cross multiply
    12,159.74x = 18,239.88 × 6,313.16
  4. Step 4: Simplify right side
    12,159.74x = 115,151,280.82
  5. Step 5: Solve for x
    x = 115,151,280.82/12,159.74
  6. Step 6: Final answer
    x = 9,469.88

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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.