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Finding the Fourth Proportional to 3,181.47, 4,751.03 and 3,147.14

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Solution

The fourth proportional to 3,181.47, 4,751.03 and 3,147.14 is: 4,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.47 : 4,751.03 = 3,147.14 : x
  2. Step 2: Convert to fraction form
    3,181.47/4,751.03 = 3,147.14/x
  3. Step 3: Cross multiply
    3,181.47x = 4,751.03 × 3,147.14
  4. Step 4: Simplify right side
    3,181.47x = 14,952,156.55
  5. Step 5: Solve for x
    x = 14,952,156.55/3,181.47
  6. Step 6: Final answer
    x = 4,699.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.