Home / 1,524.72-2,101.78-934.22

Finding the Fourth Proportional to 1,524.72, 2,101.78 and 934.22

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Solution

The fourth proportional to 1,524.72, 2,101.78 and 934.22 is: 1,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.72 : 2,101.78 = 934.22 : x
  2. Step 2: Convert to fraction form
    1,524.72/2,101.78 = 934.22/x
  3. Step 3: Cross multiply
    1,524.72x = 2,101.78 × 934.22
  4. Step 4: Simplify right side
    1,524.72x = 1,963,524.91
  5. Step 5: Solve for x
    x = 1,963,524.91/1,524.72
  6. Step 6: Final answer
    x = 1,287.79

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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.