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Finding the Fourth Proportional to 17,877, 26,815.50 and 5,565

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Solution

The fourth proportional to 17,877, 26,815.50 and 5,565 is: 8,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877 : 26,815.50 = 5,565 : x
  2. Step 2: Convert to fraction form
    17,877/26,815.50 = 5,565/x
  3. Step 3: Cross multiply
    17,877x = 26,815.50 × 5,565
  4. Step 4: Simplify right side
    17,877x = 149,228,257.50
  5. Step 5: Solve for x
    x = 149,228,257.50/17,877
  6. Step 6: Final answer
    x = 8,347.50

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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.