Home / 13,540-20,291.40-7,619.74

Finding the Fourth Proportional to 13,540, 20,291.40 and 7,619.74

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Solution

The fourth proportional to 13,540, 20,291.40 and 7,619.74 is: 11,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540 : 20,291.40 = 7,619.74 : x
  2. Step 2: Convert to fraction form
    13,540/20,291.40 = 7,619.74/x
  3. Step 3: Cross multiply
    13,540x = 20,291.40 × 7,619.74
  4. Step 4: Simplify right side
    13,540x = 154,615,192.24
  5. Step 5: Solve for x
    x = 154,615,192.24/13,540
  6. Step 6: Final answer
    x = 11,419.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.