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Finding the Fourth Proportional to 3,240.84, 4,859.31 and 1,364.49

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Solution

The fourth proportional to 3,240.84, 4,859.31 and 1,364.49 is: 2,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.84 : 4,859.31 = 1,364.49 : x
  2. Step 2: Convert to fraction form
    3,240.84/4,859.31 = 1,364.49/x
  3. Step 3: Cross multiply
    3,240.84x = 4,859.31 × 1,364.49
  4. Step 4: Simplify right side
    3,240.84x = 6,630,479.90
  5. Step 5: Solve for x
    x = 6,630,479.90/3,240.84
  6. Step 6: Final answer
    x = 2,045.91

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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.