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Finding the Fourth Proportional to 7,712.12, 10,648.86 and 7,122.44

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Solution

The fourth proportional to 7,712.12, 10,648.86 and 7,122.44 is: 9,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.12 : 10,648.86 = 7,122.44 : x
  2. Step 2: Convert to fraction form
    7,712.12/10,648.86 = 7,122.44/x
  3. Step 3: Cross multiply
    7,712.12x = 10,648.86 × 7,122.44
  4. Step 4: Simplify right side
    7,712.12x = 75,845,866.42
  5. Step 5: Solve for x
    x = 75,845,866.42/7,712.12
  6. Step 6: Final answer
    x = 9,834.63

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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.