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Finding the Fourth Proportional to 18,565.76, 27,848.64 and 6,865.28

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Solution

The fourth proportional to 18,565.76, 27,848.64 and 6,865.28 is: 10,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.76 : 27,848.64 = 6,865.28 : x
  2. Step 2: Convert to fraction form
    18,565.76/27,848.64 = 6,865.28/x
  3. Step 3: Cross multiply
    18,565.76x = 27,848.64 × 6,865.28
  4. Step 4: Simplify right side
    18,565.76x = 191,188,711.22
  5. Step 5: Solve for x
    x = 191,188,711.22/18,565.76
  6. Step 6: Final answer
    x = 10,297.92

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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.