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Finding the Fourth Proportional to 2,142.04, 2,954.46 and 1,639.04

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Solution

The fourth proportional to 2,142.04, 2,954.46 and 1,639.04 is: 2,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.04 : 2,954.46 = 1,639.04 : x
  2. Step 2: Convert to fraction form
    2,142.04/2,954.46 = 1,639.04/x
  3. Step 3: Cross multiply
    2,142.04x = 2,954.46 × 1,639.04
  4. Step 4: Simplify right side
    2,142.04x = 4,842,478.12
  5. Step 5: Solve for x
    x = 4,842,478.12/2,142.04
  6. Step 6: Final answer
    x = 2,260.69

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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.