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Finding the Fourth Proportional to 1,523.01, 2,101.78 and 894.02

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Solution

The fourth proportional to 1,523.01, 2,101.78 and 894.02 is: 1,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.01 : 2,101.78 = 894.02 : x
  2. Step 2: Convert to fraction form
    1,523.01/2,101.78 = 894.02/x
  3. Step 3: Cross multiply
    1,523.01x = 2,101.78 × 894.02
  4. Step 4: Simplify right side
    1,523.01x = 1,879,033.36
  5. Step 5: Solve for x
    x = 1,879,033.36/1,523.01
  6. Step 6: Final answer
    x = 1,233.76

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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.