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Finding the Fourth Proportional to 17,781.52, 26,668.14 and 5,300.40

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Solution

The fourth proportional to 17,781.52, 26,668.14 and 5,300.40 is: 7,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.52 : 26,668.14 = 5,300.40 : x
  2. Step 2: Convert to fraction form
    17,781.52/26,668.14 = 5,300.40/x
  3. Step 3: Cross multiply
    17,781.52x = 26,668.14 × 5,300.40
  4. Step 4: Simplify right side
    17,781.52x = 141,351,809.26
  5. Step 5: Solve for x
    x = 141,351,809.26/17,781.52
  6. Step 6: Final answer
    x = 7,949.37

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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.