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Finding the Fourth Proportional to 9,290.74, 13,940.90 and 6,172.90

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Solution

The fourth proportional to 9,290.74, 13,940.90 and 6,172.90 is: 9,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.74 : 13,940.90 = 6,172.90 : x
  2. Step 2: Convert to fraction form
    9,290.74/13,940.90 = 6,172.90/x
  3. Step 3: Cross multiply
    9,290.74x = 13,940.90 × 6,172.90
  4. Step 4: Simplify right side
    9,290.74x = 86,055,781.61
  5. Step 5: Solve for x
    x = 86,055,781.61/9,290.74
  6. Step 6: Final answer
    x = 9,262.53

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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.