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Finding the Fourth Proportional to 17,881.84, 26,815.52 and 5,398

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Solution

The fourth proportional to 17,881.84, 26,815.52 and 5,398 is: 8,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.84 : 26,815.52 = 5,398 : x
  2. Step 2: Convert to fraction form
    17,881.84/26,815.52 = 5,398/x
  3. Step 3: Cross multiply
    17,881.84x = 26,815.52 × 5,398
  4. Step 4: Simplify right side
    17,881.84x = 144,750,176.96
  5. Step 5: Solve for x
    x = 144,750,176.96/17,881.84
  6. Step 6: Final answer
    x = 8,094.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.