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Finding the Fourth Proportional to 13,049.55, 18,008.05 and 7,744.25

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Solution

The fourth proportional to 13,049.55, 18,008.05 and 7,744.25 is: 10,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.55 : 18,008.05 = 7,744.25 : x
  2. Step 2: Convert to fraction form
    13,049.55/18,008.05 = 7,744.25/x
  3. Step 3: Cross multiply
    13,049.55x = 18,008.05 × 7,744.25
  4. Step 4: Simplify right side
    13,049.55x = 139,458,841.21
  5. Step 5: Solve for x
    x = 139,458,841.21/13,049.55
  6. Step 6: Final answer
    x = 10,686.87

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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.