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Finding the Fourth Proportional to 1,945, 2,913.58 and 1,250.02

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Solution

The fourth proportional to 1,945, 2,913.58 and 1,250.02 is: 1,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945 : 2,913.58 = 1,250.02 : x
  2. Step 2: Convert to fraction form
    1,945/2,913.58 = 1,250.02/x
  3. Step 3: Cross multiply
    1,945x = 2,913.58 × 1,250.02
  4. Step 4: Simplify right side
    1,945x = 3,642,033.27
  5. Step 5: Solve for x
    x = 3,642,033.27/1,945
  6. Step 6: Final answer
    x = 1,872.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.