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Finding the Fourth Proportional to 1,546.83, 2,134.65 and 838.69

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Solution

The fourth proportional to 1,546.83, 2,134.65 and 838.69 is: 1,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.83 : 2,134.65 = 838.69 : x
  2. Step 2: Convert to fraction form
    1,546.83/2,134.65 = 838.69/x
  3. Step 3: Cross multiply
    1,546.83x = 2,134.65 × 838.69
  4. Step 4: Simplify right side
    1,546.83x = 1,790,304.27
  5. Step 5: Solve for x
    x = 1,790,304.27/1,546.83
  6. Step 6: Final answer
    x = 1,157.40

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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.