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Finding the Fourth Proportional to 15,419.66, 23,129.48 and 8,831.76

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Solution

The fourth proportional to 15,419.66, 23,129.48 and 8,831.76 is: 13,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419.66 : 23,129.48 = 8,831.76 : x
  2. Step 2: Convert to fraction form
    15,419.66/23,129.48 = 8,831.76/x
  3. Step 3: Cross multiply
    15,419.66x = 23,129.48 × 8,831.76
  4. Step 4: Simplify right side
    15,419.66x = 204,273,972.13
  5. Step 5: Solve for x
    x = 204,273,972.13/15,419.66
  6. Step 6: Final answer
    x = 13,247.64

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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.