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Finding the Fourth Proportional to 2,098.84, 3,148.43 and 638.00

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Solution

The fourth proportional to 2,098.84, 3,148.43 and 638.00 is: 957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.84 : 3,148.43 = 638.00 : x
  2. Step 2: Convert to fraction form
    2,098.84/3,148.43 = 638.00/x
  3. Step 3: Cross multiply
    2,098.84x = 3,148.43 × 638.00
  4. Step 4: Simplify right side
    2,098.84x = 2,008,707.81
  5. Step 5: Solve for x
    x = 2,008,707.81/2,098.84
  6. Step 6: Final answer
    x = 957.06

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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.