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Finding the Fourth Proportional to 5,878.69, 8,112.67 and 3,189.93

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Solution

The fourth proportional to 5,878.69, 8,112.67 and 3,189.93 is: 4,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.69 : 8,112.67 = 3,189.93 : x
  2. Step 2: Convert to fraction form
    5,878.69/8,112.67 = 3,189.93/x
  3. Step 3: Cross multiply
    5,878.69x = 8,112.67 × 3,189.93
  4. Step 4: Simplify right side
    5,878.69x = 25,878,849.41
  5. Step 5: Solve for x
    x = 25,878,849.41/5,878.69
  6. Step 6: Final answer
    x = 4,402.15

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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.