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Finding the Fourth Proportional to 17,781.40, 26,681.70 and 7,922.20

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Solution

The fourth proportional to 17,781.40, 26,681.70 and 7,922.20 is: 11,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.40 : 26,681.70 = 7,922.20 : x
  2. Step 2: Convert to fraction form
    17,781.40/26,681.70 = 7,922.20/x
  3. Step 3: Cross multiply
    17,781.40x = 26,681.70 × 7,922.20
  4. Step 4: Simplify right side
    17,781.40x = 211,377,763.74
  5. Step 5: Solve for x
    x = 211,377,763.74/17,781.40
  6. Step 6: Final answer
    x = 11,887.58

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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.