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Finding the Fourth Proportional to 17,687.85, 26,522.64 and 5,206.25

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Solution

The fourth proportional to 17,687.85, 26,522.64 and 5,206.25 is: 7,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.85 : 26,522.64 = 5,206.25 : x
  2. Step 2: Convert to fraction form
    17,687.85/26,522.64 = 5,206.25/x
  3. Step 3: Cross multiply
    17,687.85x = 26,522.64 × 5,206.25
  4. Step 4: Simplify right side
    17,687.85x = 138,083,494.50
  5. Step 5: Solve for x
    x = 138,083,494.50/17,687.85
  6. Step 6: Final answer
    x = 7,806.69

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1.5x scale

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.