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Finding the Fourth Proportional to 1,926.57, 2,888.69 and 937.43

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Solution

The fourth proportional to 1,926.57, 2,888.69 and 937.43 is: 1,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.57 : 2,888.69 = 937.43 : x
  2. Step 2: Convert to fraction form
    1,926.57/2,888.69 = 937.43/x
  3. Step 3: Cross multiply
    1,926.57x = 2,888.69 × 937.43
  4. Step 4: Simplify right side
    1,926.57x = 2,707,947.13
  5. Step 5: Solve for x
    x = 2,707,947.13/1,926.57
  6. Step 6: Final answer
    x = 1,405.58

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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.