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Finding the Fourth Proportional to 4,374, 6,562.80 and 3,209.94

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Solution

The fourth proportional to 4,374, 6,562.80 and 3,209.94 is: 4,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 6,562.80 = 3,209.94 : x
  2. Step 2: Convert to fraction form
    4,374/6,562.80 = 3,209.94/x
  3. Step 3: Cross multiply
    4,374x = 6,562.80 × 3,209.94
  4. Step 4: Simplify right side
    4,374x = 21,066,194.23
  5. Step 5: Solve for x
    x = 21,066,194.23/4,374
  6. Step 6: Final answer
    x = 4,816.23

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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.