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Finding the Fourth Proportional to 4,240, 5,851.20 and 2,447.84

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Solution

The fourth proportional to 4,240, 5,851.20 and 2,447.84 is: 3,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240 : 5,851.20 = 2,447.84 : x
  2. Step 2: Convert to fraction form
    4,240/5,851.20 = 2,447.84/x
  3. Step 3: Cross multiply
    4,240x = 5,851.20 × 2,447.84
  4. Step 4: Simplify right side
    4,240x = 14,322,801.41
  5. Step 5: Solve for x
    x = 14,322,801.41/4,240
  6. Step 6: Final answer
    x = 3,378.02

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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.