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Finding the Fourth Proportional to 13,674.30, 20,509.02 and 4,909.29

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Solution

The fourth proportional to 13,674.30, 20,509.02 and 4,909.29 is: 7,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.30 : 20,509.02 = 4,909.29 : x
  2. Step 2: Convert to fraction form
    13,674.30/20,509.02 = 4,909.29/x
  3. Step 3: Cross multiply
    13,674.30x = 20,509.02 × 4,909.29
  4. Step 4: Simplify right side
    13,674.30x = 100,684,726.80
  5. Step 5: Solve for x
    x = 100,684,726.80/13,674.30
  6. Step 6: Final answer
    x = 7,363.06

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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.