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Finding the Fourth Proportional to 3,989.76, 5,984.28 and 1,649.10

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Solution

The fourth proportional to 3,989.76, 5,984.28 and 1,649.10 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.76 : 5,984.28 = 1,649.10 : x
  2. Step 2: Convert to fraction form
    3,989.76/5,984.28 = 1,649.10/x
  3. Step 3: Cross multiply
    3,989.76x = 5,984.28 × 1,649.10
  4. Step 4: Simplify right side
    3,989.76x = 9,868,676.15
  5. Step 5: Solve for x
    x = 9,868,676.15/3,989.76
  6. Step 6: Final answer
    x = 2,473.50

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Half scale
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Double scale
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Similar ratio
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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.