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Finding the Fourth Proportional to 18,424, 27,635.28 and 5,275.84

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Solution

The fourth proportional to 18,424, 27,635.28 and 5,275.84 is: 7,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424 : 27,635.28 = 5,275.84 : x
  2. Step 2: Convert to fraction form
    18,424/27,635.28 = 5,275.84/x
  3. Step 3: Cross multiply
    18,424x = 27,635.28 × 5,275.84
  4. Step 4: Simplify right side
    18,424x = 145,799,315.64
  5. Step 5: Solve for x
    x = 145,799,315.64/18,424
  6. Step 6: Final answer
    x = 7,913.55

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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.