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Finding the Fourth Proportional to 3,654.46, 5,482.02 and 1,188.64

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Solution

The fourth proportional to 3,654.46, 5,482.02 and 1,188.64 is: 1,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.46 : 5,482.02 = 1,188.64 : x
  2. Step 2: Convert to fraction form
    3,654.46/5,482.02 = 1,188.64/x
  3. Step 3: Cross multiply
    3,654.46x = 5,482.02 × 1,188.64
  4. Step 4: Simplify right side
    3,654.46x = 6,516,148.25
  5. Step 5: Solve for x
    x = 6,516,148.25/3,654.46
  6. Step 6: Final answer
    x = 1,783.07

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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.