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Finding the Fourth Proportional to 6,774.79, 9,345.44 and 3,941.84

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Solution

The fourth proportional to 6,774.79, 9,345.44 and 3,941.84 is: 5,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.79 : 9,345.44 = 3,941.84 : x
  2. Step 2: Convert to fraction form
    6,774.79/9,345.44 = 3,941.84/x
  3. Step 3: Cross multiply
    6,774.79x = 9,345.44 × 3,941.84
  4. Step 4: Simplify right side
    6,774.79x = 36,838,229.21
  5. Step 5: Solve for x
    x = 36,838,229.21/6,774.79
  6. Step 6: Final answer
    x = 5,437.55

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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.