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Finding the Fourth Proportional to 13,213.59, 18,235 and 7,244.90

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Solution

The fourth proportional to 13,213.59, 18,235 and 7,244.90 is: 9,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.59 : 18,235 = 7,244.90 : x
  2. Step 2: Convert to fraction form
    13,213.59/18,235 = 7,244.90/x
  3. Step 3: Cross multiply
    13,213.59x = 18,235 × 7,244.90
  4. Step 4: Simplify right side
    13,213.59x = 132,110,751.50
  5. Step 5: Solve for x
    x = 132,110,751.50/13,213.59
  6. Step 6: Final answer
    x = 9,998.10

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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.