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Finding the Fourth Proportional to 3,478.91, 5,208.94 and 2,547.41

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Solution

The fourth proportional to 3,478.91, 5,208.94 and 2,547.41 is: 3,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.91 : 5,208.94 = 2,547.41 : x
  2. Step 2: Convert to fraction form
    3,478.91/5,208.94 = 2,547.41/x
  3. Step 3: Cross multiply
    3,478.91x = 5,208.94 × 2,547.41
  4. Step 4: Simplify right side
    3,478.91x = 13,269,282.98
  5. Step 5: Solve for x
    x = 13,269,282.98/3,478.91
  6. Step 6: Final answer
    x = 3,814.21

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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.