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Finding the Fourth Proportional to 2,142.79, 3,215.99 and 845.17

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Solution

The fourth proportional to 2,142.79, 3,215.99 and 845.17 is: 1,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.79 : 3,215.99 = 845.17 : x
  2. Step 2: Convert to fraction form
    2,142.79/3,215.99 = 845.17/x
  3. Step 3: Cross multiply
    2,142.79x = 3,215.99 × 845.17
  4. Step 4: Simplify right side
    2,142.79x = 2,718,052.34
  5. Step 5: Solve for x
    x = 2,718,052.34/2,142.79
  6. Step 6: Final answer
    x = 1,268.47

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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.