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Finding the Fourth Proportional to 3,679.48, 5,074.68 and 2,971.12

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Solution

The fourth proportional to 3,679.48, 5,074.68 and 2,971.12 is: 4,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.48 : 5,074.68 = 2,971.12 : x
  2. Step 2: Convert to fraction form
    3,679.48/5,074.68 = 2,971.12/x
  3. Step 3: Cross multiply
    3,679.48x = 5,074.68 × 2,971.12
  4. Step 4: Simplify right side
    3,679.48x = 15,077,483.24
  5. Step 5: Solve for x
    x = 15,077,483.24/3,679.48
  6. Step 6: Final answer
    x = 4,097.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.