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Finding the Fourth Proportional to 2,981.32, 4,463.64 and 2,751.64

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Solution

The fourth proportional to 2,981.32, 4,463.64 and 2,751.64 is: 4,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.32 : 4,463.64 = 2,751.64 : x
  2. Step 2: Convert to fraction form
    2,981.32/4,463.64 = 2,751.64/x
  3. Step 3: Cross multiply
    2,981.32x = 4,463.64 × 2,751.64
  4. Step 4: Simplify right side
    2,981.32x = 12,282,330.37
  5. Step 5: Solve for x
    x = 12,282,330.37/2,981.32
  6. Step 6: Final answer
    x = 4,119.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.