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Finding the Fourth Proportional to 7,772.31, 10,723.44 and 7,023.87

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Solution

The fourth proportional to 7,772.31, 10,723.44 and 7,023.87 is: 9,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.31 : 10,723.44 = 7,023.87 : x
  2. Step 2: Convert to fraction form
    7,772.31/10,723.44 = 7,023.87/x
  3. Step 3: Cross multiply
    7,772.31x = 10,723.44 × 7,023.87
  4. Step 4: Simplify right side
    7,772.31x = 75,320,048.51
  5. Step 5: Solve for x
    x = 75,320,048.51/7,772.31
  6. Step 6: Final answer
    x = 9,690.82

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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.