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Finding the Fourth Proportional to 7,712.12, 11,500.43 and 7,641.95

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Solution

The fourth proportional to 7,712.12, 11,500.43 and 7,641.95 is: 11,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.12 : 11,500.43 = 7,641.95 : x
  2. Step 2: Convert to fraction form
    7,712.12/11,500.43 = 7,641.95/x
  3. Step 3: Cross multiply
    7,712.12x = 11,500.43 × 7,641.95
  4. Step 4: Simplify right side
    7,712.12x = 87,885,615.33
  5. Step 5: Solve for x
    x = 87,885,615.33/7,712.12
  6. Step 6: Final answer
    x = 11,395.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.