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Finding the Fourth Proportional to 4,310.61, 5,978.88 and 4,135.65

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Solution

The fourth proportional to 4,310.61, 5,978.88 and 4,135.65 is: 5,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.61 : 5,978.88 = 4,135.65 : x
  2. Step 2: Convert to fraction form
    4,310.61/5,978.88 = 4,135.65/x
  3. Step 3: Cross multiply
    4,310.61x = 5,978.88 × 4,135.65
  4. Step 4: Simplify right side
    4,310.61x = 24,726,555.07
  5. Step 5: Solve for x
    x = 24,726,555.07/4,310.61
  6. Step 6: Final answer
    x = 5,736.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.