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Finding the Fourth Proportional to 7,924.25, 11,945.86 and 7,389.18

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Solution

The fourth proportional to 7,924.25, 11,945.86 and 7,389.18 is: 11,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.25 : 11,945.86 = 7,389.18 : x
  2. Step 2: Convert to fraction form
    7,924.25/11,945.86 = 7,389.18/x
  3. Step 3: Cross multiply
    7,924.25x = 11,945.86 × 7,389.18
  4. Step 4: Simplify right side
    7,924.25x = 88,270,091.32
  5. Step 5: Solve for x
    x = 88,270,091.32/7,924.25
  6. Step 6: Final answer
    x = 11,139.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.