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Finding the Fourth Proportional to 13,209, 18,228.50 and 7,240.68

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Solution

The fourth proportional to 13,209, 18,228.50 and 7,240.68 is: 9,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209 : 18,228.50 = 7,240.68 : x
  2. Step 2: Convert to fraction form
    13,209/18,228.50 = 7,240.68/x
  3. Step 3: Cross multiply
    13,209x = 18,228.50 × 7,240.68
  4. Step 4: Simplify right side
    13,209x = 131,986,735.38
  5. Step 5: Solve for x
    x = 131,986,735.38/13,209
  6. Step 6: Final answer
    x = 9,992.18

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1.5x scale

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.