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Finding the Fourth Proportional to 2,658.86, 3,988.50 and 810.12

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Solution

The fourth proportional to 2,658.86, 3,988.50 and 810.12 is: 1,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.86 : 3,988.50 = 810.12 : x
  2. Step 2: Convert to fraction form
    2,658.86/3,988.50 = 810.12/x
  3. Step 3: Cross multiply
    2,658.86x = 3,988.50 × 810.12
  4. Step 4: Simplify right side
    2,658.86x = 3,231,163.62
  5. Step 5: Solve for x
    x = 3,231,163.62/2,658.86
  6. Step 6: Final answer
    x = 1,215.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.