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Finding the Fourth Proportional to 12,203.76, 16,831.20 and 7,484.88

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Solution

The fourth proportional to 12,203.76, 16,831.20 and 7,484.88 is: 10,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.76 : 16,831.20 = 7,484.88 : x
  2. Step 2: Convert to fraction form
    12,203.76/16,831.20 = 7,484.88/x
  3. Step 3: Cross multiply
    12,203.76x = 16,831.20 × 7,484.88
  4. Step 4: Simplify right side
    12,203.76x = 125,979,512.26
  5. Step 5: Solve for x
    x = 125,979,512.26/12,203.76
  6. Step 6: Final answer
    x = 10,323.01

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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.