Home / 1,523.13-2,101.30-933.45

Finding the Fourth Proportional to 1,523.13, 2,101.30 and 933.45

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Solution

The fourth proportional to 1,523.13, 2,101.30 and 933.45 is: 1,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.13 : 2,101.30 = 933.45 : x
  2. Step 2: Convert to fraction form
    1,523.13/2,101.30 = 933.45/x
  3. Step 3: Cross multiply
    1,523.13x = 2,101.30 × 933.45
  4. Step 4: Simplify right side
    1,523.13x = 1,961,458.49
  5. Step 5: Solve for x
    x = 1,961,458.49/1,523.13
  6. Step 6: Final answer
    x = 1,287.78

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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.