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Finding the Fourth Proportional to 1,766.94, 2,438.42 and 981.06

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Solution

The fourth proportional to 1,766.94, 2,438.42 and 981.06 is: 1,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.94 : 2,438.42 = 981.06 : x
  2. Step 2: Convert to fraction form
    1,766.94/2,438.42 = 981.06/x
  3. Step 3: Cross multiply
    1,766.94x = 2,438.42 × 981.06
  4. Step 4: Simplify right side
    1,766.94x = 2,392,231.42
  5. Step 5: Solve for x
    x = 2,392,231.42/1,766.94
  6. Step 6: Final answer
    x = 1,353.88

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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.