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Finding the Fourth Proportional to 8,642.57, 11,926.64 and 5,105.70

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Solution

The fourth proportional to 8,642.57, 11,926.64 and 5,105.70 is: 7,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.57 : 11,926.64 = 5,105.70 : x
  2. Step 2: Convert to fraction form
    8,642.57/11,926.64 = 5,105.70/x
  3. Step 3: Cross multiply
    8,642.57x = 11,926.64 × 5,105.70
  4. Step 4: Simplify right side
    8,642.57x = 60,893,858.61
  5. Step 5: Solve for x
    x = 60,893,858.61/8,642.57
  6. Step 6: Final answer
    x = 7,045.81

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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.