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Finding the Fourth Proportional to 1,950.70, 2,691.86 and 1,111.30

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Solution

The fourth proportional to 1,950.70, 2,691.86 and 1,111.30 is: 1,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.70 : 2,691.86 = 1,111.30 : x
  2. Step 2: Convert to fraction form
    1,950.70/2,691.86 = 1,111.30/x
  3. Step 3: Cross multiply
    1,950.70x = 2,691.86 × 1,111.30
  4. Step 4: Simplify right side
    1,950.70x = 2,991,464.02
  5. Step 5: Solve for x
    x = 2,991,464.02/1,950.70
  6. Step 6: Final answer
    x = 1,533.53

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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.