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Finding the Fourth Proportional to 4,990, 6,879.78 and 4,090.42

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Solution

The fourth proportional to 4,990, 6,879.78 and 4,090.42 is: 5,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990 : 6,879.78 = 4,090.42 : x
  2. Step 2: Convert to fraction form
    4,990/6,879.78 = 4,090.42/x
  3. Step 3: Cross multiply
    4,990x = 6,879.78 × 4,090.42
  4. Step 4: Simplify right side
    4,990x = 28,141,189.71
  5. Step 5: Solve for x
    x = 28,141,189.71/4,990
  6. Step 6: Final answer
    x = 5,639.52

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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.