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Finding the Fourth Proportional to 2,486.97, 3,730.38 and 638.01

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Solution

The fourth proportional to 2,486.97, 3,730.38 and 638.01 is: 957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.97 : 3,730.38 = 638.01 : x
  2. Step 2: Convert to fraction form
    2,486.97/3,730.38 = 638.01/x
  3. Step 3: Cross multiply
    2,486.97x = 3,730.38 × 638.01
  4. Step 4: Simplify right side
    2,486.97x = 2,380,019.74
  5. Step 5: Solve for x
    x = 2,380,019.74/2,486.97
  6. Step 6: Final answer
    x = 957.00

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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.