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Finding the Fourth Proportional to 3,086.38, 4,259.10 and 1,689.10

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Solution

The fourth proportional to 3,086.38, 4,259.10 and 1,689.10 is: 2,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.38 : 4,259.10 = 1,689.10 : x
  2. Step 2: Convert to fraction form
    3,086.38/4,259.10 = 1,689.10/x
  3. Step 3: Cross multiply
    3,086.38x = 4,259.10 × 1,689.10
  4. Step 4: Simplify right side
    3,086.38x = 7,194,045.81
  5. Step 5: Solve for x
    x = 7,194,045.81/3,086.38
  6. Step 6: Final answer
    x = 2,330.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.