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Finding the Fourth Proportional to 3,905.40, 5,858.10 and 983.64

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Solution

The fourth proportional to 3,905.40, 5,858.10 and 983.64 is: 1,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.40 : 5,858.10 = 983.64 : x
  2. Step 2: Convert to fraction form
    3,905.40/5,858.10 = 983.64/x
  3. Step 3: Cross multiply
    3,905.40x = 5,858.10 × 983.64
  4. Step 4: Simplify right side
    3,905.40x = 5,762,261.48
  5. Step 5: Solve for x
    x = 5,762,261.48/3,905.40
  6. Step 6: Final answer
    x = 1,475.46

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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.