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Finding the Fourth Proportional to 14,831.71, 20,467.45 and 8,117.15

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Solution

The fourth proportional to 14,831.71, 20,467.45 and 8,117.15 is: 11,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.71 : 20,467.45 = 8,117.15 : x
  2. Step 2: Convert to fraction form
    14,831.71/20,467.45 = 8,117.15/x
  3. Step 3: Cross multiply
    14,831.71x = 20,467.45 × 8,117.15
  4. Step 4: Simplify right side
    14,831.71x = 166,137,269.58
  5. Step 5: Solve for x
    x = 166,137,269.58/14,831.71
  6. Step 6: Final answer
    x = 11,201.49

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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.