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Finding the Fourth Proportional to 2,098.90, 3,148.35 and 638.07

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Solution

The fourth proportional to 2,098.90, 3,148.35 and 638.07 is: 957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.90 : 3,148.35 = 638.07 : x
  2. Step 2: Convert to fraction form
    2,098.90/3,148.35 = 638.07/x
  3. Step 3: Cross multiply
    2,098.90x = 3,148.35 × 638.07
  4. Step 4: Simplify right side
    2,098.90x = 2,008,867.68
  5. Step 5: Solve for x
    x = 2,008,867.68/2,098.90
  6. Step 6: Final answer
    x = 957.11

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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.