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Finding the Fourth Proportional to 2,098.98, 3,148.93 and 638.25

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Solution

The fourth proportional to 2,098.98, 3,148.93 and 638.25 is: 957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.98 : 3,148.93 = 638.25 : x
  2. Step 2: Convert to fraction form
    2,098.98/3,148.93 = 638.25/x
  3. Step 3: Cross multiply
    2,098.98x = 3,148.93 × 638.25
  4. Step 4: Simplify right side
    2,098.98x = 2,009,804.57
  5. Step 5: Solve for x
    x = 2,009,804.57/2,098.98
  6. Step 6: Final answer
    x = 957.51

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Double scale
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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.