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Finding the Fourth Proportional to 19,225.32, 28,824.54 and 8,831.40

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Solution

The fourth proportional to 19,225.32, 28,824.54 and 8,831.40 is: 13,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,225.32 : 28,824.54 = 8,831.40 : x
  2. Step 2: Convert to fraction form
    19,225.32/28,824.54 = 8,831.40/x
  3. Step 3: Cross multiply
    19,225.32x = 28,824.54 × 8,831.40
  4. Step 4: Simplify right side
    19,225.32x = 254,561,042.56
  5. Step 5: Solve for x
    x = 254,561,042.56/19,225.32
  6. Step 6: Final answer
    x = 13,240.93

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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.