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Finding the Fourth Proportional to 1,837.65, 2,756.61 and 913.44

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Solution

The fourth proportional to 1,837.65, 2,756.61 and 913.44 is: 1,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.65 : 2,756.61 = 913.44 : x
  2. Step 2: Convert to fraction form
    1,837.65/2,756.61 = 913.44/x
  3. Step 3: Cross multiply
    1,837.65x = 2,756.61 × 913.44
  4. Step 4: Simplify right side
    1,837.65x = 2,517,997.84
  5. Step 5: Solve for x
    x = 2,517,997.84/1,837.65
  6. Step 6: Final answer
    x = 1,370.23

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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.