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Finding the Fourth Proportional to 2,125.06, 2,933.16 and 1,378.97

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Solution

The fourth proportional to 2,125.06, 2,933.16 and 1,378.97 is: 1,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.06 : 2,933.16 = 1,378.97 : x
  2. Step 2: Convert to fraction form
    2,125.06/2,933.16 = 1,378.97/x
  3. Step 3: Cross multiply
    2,125.06x = 2,933.16 × 1,378.97
  4. Step 4: Simplify right side
    2,125.06x = 4,044,755.06
  5. Step 5: Solve for x
    x = 4,044,755.06/2,125.06
  6. Step 6: Final answer
    x = 1,903.36

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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.