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Finding the Fourth Proportional to 17,877.84, 26,809.56 and 5,394

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Solution

The fourth proportional to 17,877.84, 26,809.56 and 5,394 is: 8,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.84 : 26,809.56 = 5,394 : x
  2. Step 2: Convert to fraction form
    17,877.84/26,809.56 = 5,394/x
  3. Step 3: Cross multiply
    17,877.84x = 26,809.56 × 5,394
  4. Step 4: Simplify right side
    17,877.84x = 144,610,766.64
  5. Step 5: Solve for x
    x = 144,610,766.64/17,877.84
  6. Step 6: Final answer
    x = 8,088.83

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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.