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Finding the Fourth Proportional to 3,176.42, 4,764.69 and 985.10

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Solution

The fourth proportional to 3,176.42, 4,764.69 and 985.10 is: 1,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.42 : 4,764.69 = 985.10 : x
  2. Step 2: Convert to fraction form
    3,176.42/4,764.69 = 985.10/x
  3. Step 3: Cross multiply
    3,176.42x = 4,764.69 × 985.10
  4. Step 4: Simplify right side
    3,176.42x = 4,693,672.30
  5. Step 5: Solve for x
    x = 4,693,672.30/3,176.42
  6. Step 6: Final answer
    x = 1,477.66

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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.