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Finding the Fourth Proportional to 3,165.78, 4,749.30 and 1,316.64

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Solution

The fourth proportional to 3,165.78, 4,749.30 and 1,316.64 is: 1,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.78 : 4,749.30 = 1,316.64 : x
  2. Step 2: Convert to fraction form
    3,165.78/4,749.30 = 1,316.64/x
  3. Step 3: Cross multiply
    3,165.78x = 4,749.30 × 1,316.64
  4. Step 4: Simplify right side
    3,165.78x = 6,253,118.35
  5. Step 5: Solve for x
    x = 6,253,118.35/3,165.78
  6. Step 6: Final answer
    x = 1,975.22

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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.