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Finding the Fourth Proportional to 17,527, 26,290.68 and 5,215

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Solution

The fourth proportional to 17,527, 26,290.68 and 5,215 is: 7,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527 : 26,290.68 = 5,215 : x
  2. Step 2: Convert to fraction form
    17,527/26,290.68 = 5,215/x
  3. Step 3: Cross multiply
    17,527x = 26,290.68 × 5,215
  4. Step 4: Simplify right side
    17,527x = 137,105,896.20
  5. Step 5: Solve for x
    x = 137,105,896.20/17,527
  6. Step 6: Final answer
    x = 7,822.55

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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.