Home / 27,742-38,283.96-15,166.84

Finding the Fourth Proportional to 27,742, 38,283.96 and 15,166.84

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Solution

The fourth proportional to 27,742, 38,283.96 and 15,166.84 is: 20,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742 : 38,283.96 = 15,166.84 : x
  2. Step 2: Convert to fraction form
    27,742/38,283.96 = 15,166.84/x
  3. Step 3: Cross multiply
    27,742x = 38,283.96 × 15,166.84
  4. Step 4: Simplify right side
    27,742x = 580,646,695.89
  5. Step 5: Solve for x
    x = 580,646,695.89/27,742
  6. Step 6: Final answer
    x = 20,930.24

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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.