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Finding the Fourth Proportional to 3,214.42, 4,820.91 and 906.10

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Solution

The fourth proportional to 3,214.42, 4,820.91 and 906.10 is: 1,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.42 : 4,820.91 = 906.10 : x
  2. Step 2: Convert to fraction form
    3,214.42/4,820.91 = 906.10/x
  3. Step 3: Cross multiply
    3,214.42x = 4,820.91 × 906.10
  4. Step 4: Simplify right side
    3,214.42x = 4,368,226.55
  5. Step 5: Solve for x
    x = 4,368,226.55/3,214.42
  6. Step 6: Final answer
    x = 1,358.95

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1.5x scale

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.