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Finding the Fourth Proportional to 6,478.44, 8,941.74 and 4,120.11

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Solution

The fourth proportional to 6,478.44, 8,941.74 and 4,120.11 is: 5,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.44 : 8,941.74 = 4,120.11 : x
  2. Step 2: Convert to fraction form
    6,478.44/8,941.74 = 4,120.11/x
  3. Step 3: Cross multiply
    6,478.44x = 8,941.74 × 4,120.11
  4. Step 4: Simplify right side
    6,478.44x = 36,840,952.39
  5. Step 5: Solve for x
    x = 36,840,952.39/6,478.44
  6. Step 6: Final answer
    x = 5,686.70

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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.