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Finding the Fourth Proportional to 12,549.64, 17,321.88 and 7,831.12

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Solution

The fourth proportional to 12,549.64, 17,321.88 and 7,831.12 is: 10,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.64 : 17,321.88 = 7,831.12 : x
  2. Step 2: Convert to fraction form
    12,549.64/17,321.88 = 7,831.12/x
  3. Step 3: Cross multiply
    12,549.64x = 17,321.88 × 7,831.12
  4. Step 4: Simplify right side
    12,549.64x = 135,649,720.91
  5. Step 5: Solve for x
    x = 135,649,720.91/12,549.64
  6. Step 6: Final answer
    x = 10,809.05

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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.