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Finding the Fourth Proportional to 17,681.70, 26,503.11 and 7,287.78

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Solution

The fourth proportional to 17,681.70, 26,503.11 and 7,287.78 is: 10,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.70 : 26,503.11 = 7,287.78 : x
  2. Step 2: Convert to fraction form
    17,681.70/26,503.11 = 7,287.78/x
  3. Step 3: Cross multiply
    17,681.70x = 26,503.11 × 7,287.78
  4. Step 4: Simplify right side
    17,681.70x = 193,148,835.00
  5. Step 5: Solve for x
    x = 193,148,835.00/17,681.70
  6. Step 6: Final answer
    x = 10,923.66

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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.