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Finding the Fourth Proportional to 1,865.13, 2,794.85 and 938.10

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Solution

The fourth proportional to 1,865.13, 2,794.85 and 938.10 is: 1,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.13 : 2,794.85 = 938.10 : x
  2. Step 2: Convert to fraction form
    1,865.13/2,794.85 = 938.10/x
  3. Step 3: Cross multiply
    1,865.13x = 2,794.85 × 938.10
  4. Step 4: Simplify right side
    1,865.13x = 2,621,844.09
  5. Step 5: Solve for x
    x = 2,621,844.09/1,865.13
  6. Step 6: Final answer
    x = 1,405.72

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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.