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Finding the Fourth Proportional to 13,209, 18,228.96 and 7,620

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Solution

The fourth proportional to 13,209, 18,228.96 and 7,620 is: 10,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209 : 18,228.96 = 7,620 : x
  2. Step 2: Convert to fraction form
    13,209/18,228.96 = 7,620/x
  3. Step 3: Cross multiply
    13,209x = 18,228.96 × 7,620
  4. Step 4: Simplify right side
    13,209x = 138,904,675.20
  5. Step 5: Solve for x
    x = 138,904,675.20/13,209
  6. Step 6: Final answer
    x = 10,515.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.