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Finding the Fourth Proportional to 17,658, 26,499.15 and 7,269.75

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Solution

The fourth proportional to 17,658, 26,499.15 and 7,269.75 is: 10,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 26,499.15 = 7,269.75 : x
  2. Step 2: Convert to fraction form
    17,658/26,499.15 = 7,269.75/x
  3. Step 3: Cross multiply
    17,658x = 26,499.15 × 7,269.75
  4. Step 4: Simplify right side
    17,658x = 192,642,195.71
  5. Step 5: Solve for x
    x = 192,642,195.71/17,658
  6. Step 6: Final answer
    x = 10,909.63

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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.