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Finding the Fourth Proportional to 5,387.64, 7,431.88 and 3,394.76

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Solution

The fourth proportional to 5,387.64, 7,431.88 and 3,394.76 is: 4,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.64 : 7,431.88 = 3,394.76 : x
  2. Step 2: Convert to fraction form
    5,387.64/7,431.88 = 3,394.76/x
  3. Step 3: Cross multiply
    5,387.64x = 7,431.88 × 3,394.76
  4. Step 4: Simplify right side
    5,387.64x = 25,229,448.95
  5. Step 5: Solve for x
    x = 25,229,448.95/5,387.64
  6. Step 6: Final answer
    x = 4,682.84

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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.