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Finding the Fourth Proportional to 3,774.94, 5,214.41 and 3,147.52

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Solution

The fourth proportional to 3,774.94, 5,214.41 and 3,147.52 is: 4,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.94 : 5,214.41 = 3,147.52 : x
  2. Step 2: Convert to fraction form
    3,774.94/5,214.41 = 3,147.52/x
  3. Step 3: Cross multiply
    3,774.94x = 5,214.41 × 3,147.52
  4. Step 4: Simplify right side
    3,774.94x = 16,412,459.76
  5. Step 5: Solve for x
    x = 16,412,459.76/3,774.94
  6. Step 6: Final answer
    x = 4,347.74

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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.