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Finding the Fourth Proportional to 13,209.88, 18,230.18 and 7,242.08

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Solution

The fourth proportional to 13,209.88, 18,230.18 and 7,242.08 is: 9,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.88 : 18,230.18 = 7,242.08 : x
  2. Step 2: Convert to fraction form
    13,209.88/18,230.18 = 7,242.08/x
  3. Step 3: Cross multiply
    13,209.88x = 18,230.18 × 7,242.08
  4. Step 4: Simplify right side
    13,209.88x = 132,024,421.97
  5. Step 5: Solve for x
    x = 132,024,421.97/13,209.88
  6. Step 6: Final answer
    x = 9,994.37

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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.