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Finding the Fourth Proportional to 7,761.88, 10,722.28 and 6,922.31

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Solution

The fourth proportional to 7,761.88, 10,722.28 and 6,922.31 is: 9,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.88 : 10,722.28 = 6,922.31 : x
  2. Step 2: Convert to fraction form
    7,761.88/10,722.28 = 6,922.31/x
  3. Step 3: Cross multiply
    7,761.88x = 10,722.28 × 6,922.31
  4. Step 4: Simplify right side
    7,761.88x = 74,222,946.07
  5. Step 5: Solve for x
    x = 74,222,946.07/7,761.88
  6. Step 6: Final answer
    x = 9,562.50

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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.