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Finding the Fourth Proportional to 2,988.64, 4,479.64 and 2,255.84

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Solution

The fourth proportional to 2,988.64, 4,479.64 and 2,255.84 is: 3,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.64 : 4,479.64 = 2,255.84 : x
  2. Step 2: Convert to fraction form
    2,988.64/4,479.64 = 2,255.84/x
  3. Step 3: Cross multiply
    2,988.64x = 4,479.64 × 2,255.84
  4. Step 4: Simplify right side
    2,988.64x = 10,105,351.10
  5. Step 5: Solve for x
    x = 10,105,351.10/2,988.64
  6. Step 6: Final answer
    x = 3,381.25

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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.