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Finding the Fourth Proportional to 7,812.26, 10,785.96 and 6,971.52

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Solution

The fourth proportional to 7,812.26, 10,785.96 and 6,971.52 is: 9,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.26 : 10,785.96 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    7,812.26/10,785.96 = 6,971.52/x
  3. Step 3: Cross multiply
    7,812.26x = 10,785.96 × 6,971.52
  4. Step 4: Simplify right side
    7,812.26x = 75,194,550.16
  5. Step 5: Solve for x
    x = 75,194,550.16/7,812.26
  6. Step 6: Final answer
    x = 9,625.20

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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.