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Finding the Fourth Proportional to 7,920.74, 10,906.22 and 7,035.00

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Solution

The fourth proportional to 7,920.74, 10,906.22 and 7,035.00 is: 9,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.74 : 10,906.22 = 7,035.00 : x
  2. Step 2: Convert to fraction form
    7,920.74/10,906.22 = 7,035.00/x
  3. Step 3: Cross multiply
    7,920.74x = 10,906.22 × 7,035.00
  4. Step 4: Simplify right side
    7,920.74x = 76,725,275.95
  5. Step 5: Solve for x
    x = 76,725,275.95/7,920.74
  6. Step 6: Final answer
    x = 9,686.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.