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Finding the Fourth Proportional to 12,831.74, 17,708.08 and 8,051.88

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Solution

The fourth proportional to 12,831.74, 17,708.08 and 8,051.88 is: 11,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.74 : 17,708.08 = 8,051.88 : x
  2. Step 2: Convert to fraction form
    12,831.74/17,708.08 = 8,051.88/x
  3. Step 3: Cross multiply
    12,831.74x = 17,708.08 × 8,051.88
  4. Step 4: Simplify right side
    12,831.74x = 142,583,335.19
  5. Step 5: Solve for x
    x = 142,583,335.19/12,831.74
  6. Step 6: Final answer
    x = 11,111.77

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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.