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Finding the Fourth Proportional to 3,937.44, 5,434.08 and 2,259

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Solution

The fourth proportional to 3,937.44, 5,434.08 and 2,259 is: 3,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.44 : 5,434.08 = 2,259 : x
  2. Step 2: Convert to fraction form
    3,937.44/5,434.08 = 2,259/x
  3. Step 3: Cross multiply
    3,937.44x = 5,434.08 × 2,259
  4. Step 4: Simplify right side
    3,937.44x = 12,275,586.72
  5. Step 5: Solve for x
    x = 12,275,586.72/3,937.44
  6. Step 6: Final answer
    x = 3,117.66

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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.