Home / 1,538.09-2,122.56-948.95

Finding the Fourth Proportional to 1,538.09, 2,122.56 and 948.95

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Solution

The fourth proportional to 1,538.09, 2,122.56 and 948.95 is: 1,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.09 : 2,122.56 = 948.95 : x
  2. Step 2: Convert to fraction form
    1,538.09/2,122.56 = 948.95/x
  3. Step 3: Cross multiply
    1,538.09x = 2,122.56 × 948.95
  4. Step 4: Simplify right side
    1,538.09x = 2,014,192.70
  5. Step 5: Solve for x
    x = 2,014,192.70/1,538.09
  6. Step 6: Final answer
    x = 1,309.55

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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.