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Finding the Fourth Proportional to 4,674.96, 6,978.24 and 4,121.39

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Solution

The fourth proportional to 4,674.96, 6,978.24 and 4,121.39 is: 6,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.96 : 6,978.24 = 4,121.39 : x
  2. Step 2: Convert to fraction form
    4,674.96/6,978.24 = 4,121.39/x
  3. Step 3: Cross multiply
    4,674.96x = 6,978.24 × 4,121.39
  4. Step 4: Simplify right side
    4,674.96x = 28,760,066.00
  5. Step 5: Solve for x
    x = 28,760,066.00/4,674.96
  6. Step 6: Final answer
    x = 6,151.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.