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Finding the Fourth Proportional to 2,092.90, 3,139.38 and 632.08

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Solution

The fourth proportional to 2,092.90, 3,139.38 and 632.08 is: 948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.90 : 3,139.38 = 632.08 : x
  2. Step 2: Convert to fraction form
    2,092.90/3,139.38 = 632.08/x
  3. Step 3: Cross multiply
    2,092.90x = 3,139.38 × 632.08
  4. Step 4: Simplify right side
    2,092.90x = 1,984,339.31
  5. Step 5: Solve for x
    x = 1,984,339.31/2,092.90
  6. Step 6: Final answer
    x = 948.13

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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.