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Finding the Fourth Proportional to 4,209, 6,309.24 and 2,019.30

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Solution

The fourth proportional to 4,209, 6,309.24 and 2,019.30 is: 3,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 6,309.24 = 2,019.30 : x
  2. Step 2: Convert to fraction form
    4,209/6,309.24 = 2,019.30/x
  3. Step 3: Cross multiply
    4,209x = 6,309.24 × 2,019.30
  4. Step 4: Simplify right side
    4,209x = 12,740,248.33
  5. Step 5: Solve for x
    x = 12,740,248.33/4,209
  6. Step 6: Final answer
    x = 3,026.91

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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.