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Finding the Fourth Proportional to 2,736.80, 4,102.74 and 981.50

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Solution

The fourth proportional to 2,736.80, 4,102.74 and 981.50 is: 1,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.80 : 4,102.74 = 981.50 : x
  2. Step 2: Convert to fraction form
    2,736.80/4,102.74 = 981.50/x
  3. Step 3: Cross multiply
    2,736.80x = 4,102.74 × 981.50
  4. Step 4: Simplify right side
    2,736.80x = 4,026,839.31
  5. Step 5: Solve for x
    x = 4,026,839.31/2,736.80
  6. Step 6: Final answer
    x = 1,471.37

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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.