Home / 1,538.21-2,122.73-839.58

Finding the Fourth Proportional to 1,538.21, 2,122.73 and 839.58

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Solution

The fourth proportional to 1,538.21, 2,122.73 and 839.58 is: 1,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.21 : 2,122.73 = 839.58 : x
  2. Step 2: Convert to fraction form
    1,538.21/2,122.73 = 839.58/x
  3. Step 3: Cross multiply
    1,538.21x = 2,122.73 × 839.58
  4. Step 4: Simplify right side
    1,538.21x = 1,782,208.77
  5. Step 5: Solve for x
    x = 1,782,208.77/1,538.21
  6. Step 6: Final answer
    x = 1,158.63

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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.