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Finding the Fourth Proportional to 13,489.97, 18,613.96 and 7,521.48

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Solution

The fourth proportional to 13,489.97, 18,613.96 and 7,521.48 is: 10,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.97 : 18,613.96 = 7,521.48 : x
  2. Step 2: Convert to fraction form
    13,489.97/18,613.96 = 7,521.48/x
  3. Step 3: Cross multiply
    13,489.97x = 18,613.96 × 7,521.48
  4. Step 4: Simplify right side
    13,489.97x = 140,004,509.06
  5. Step 5: Solve for x
    x = 140,004,509.06/13,489.97
  6. Step 6: Final answer
    x = 10,378.42

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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.