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Finding the Fourth Proportional to 19,258.88, 28,882.56 and 8,864

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Solution

The fourth proportional to 19,258.88, 28,882.56 and 8,864 is: 13,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258.88 : 28,882.56 = 8,864 : x
  2. Step 2: Convert to fraction form
    19,258.88/28,882.56 = 8,864/x
  3. Step 3: Cross multiply
    19,258.88x = 28,882.56 × 8,864
  4. Step 4: Simplify right side
    19,258.88x = 256,015,011.84
  5. Step 5: Solve for x
    x = 256,015,011.84/19,258.88
  6. Step 6: Final answer
    x = 13,293.35

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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.