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Finding the Fourth Proportional to 2,098.93, 3,148.18 and 638.09

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Solution

The fourth proportional to 2,098.93, 3,148.18 and 638.09 is: 957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.93 : 3,148.18 = 638.09 : x
  2. Step 2: Convert to fraction form
    2,098.93/3,148.18 = 638.09/x
  3. Step 3: Cross multiply
    2,098.93x = 3,148.18 × 638.09
  4. Step 4: Simplify right side
    2,098.93x = 2,008,818.99
  5. Step 5: Solve for x
    x = 2,008,818.99/2,098.93
  6. Step 6: Final answer
    x = 957.07

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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.