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Finding the Fourth Proportional to 1,546.68, 2,134.38 and 883.50

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Solution

The fourth proportional to 1,546.68, 2,134.38 and 883.50 is: 1,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.68 : 2,134.38 = 883.50 : x
  2. Step 2: Convert to fraction form
    1,546.68/2,134.38 = 883.50/x
  3. Step 3: Cross multiply
    1,546.68x = 2,134.38 × 883.50
  4. Step 4: Simplify right side
    1,546.68x = 1,885,724.73
  5. Step 5: Solve for x
    x = 1,885,724.73/1,546.68
  6. Step 6: Final answer
    x = 1,219.21

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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.