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Finding the Fourth Proportional to 5,209.84, 7,812 and 3,728.32

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Solution

The fourth proportional to 5,209.84, 7,812 and 3,728.32 is: 5,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.84 : 7,812 = 3,728.32 : x
  2. Step 2: Convert to fraction form
    5,209.84/7,812 = 3,728.32/x
  3. Step 3: Cross multiply
    5,209.84x = 7,812 × 3,728.32
  4. Step 4: Simplify right side
    5,209.84x = 29,125,635.84
  5. Step 5: Solve for x
    x = 29,125,635.84/5,209.84
  6. Step 6: Final answer
    x = 5,590.50

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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.