Home / 1,538.70-2,122.29-949.02

Finding the Fourth Proportional to 1,538.70, 2,122.29 and 949.02

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Solution

The fourth proportional to 1,538.70, 2,122.29 and 949.02 is: 1,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.70 : 2,122.29 = 949.02 : x
  2. Step 2: Convert to fraction form
    1,538.70/2,122.29 = 949.02/x
  3. Step 3: Cross multiply
    1,538.70x = 2,122.29 × 949.02
  4. Step 4: Simplify right side
    1,538.70x = 2,014,095.66
  5. Step 5: Solve for x
    x = 2,014,095.66/1,538.70
  6. Step 6: Final answer
    x = 1,308.96

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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.