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Finding the Fourth Proportional to 6,787.80, 9,374.94 and 5,407.56

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Solution

The fourth proportional to 6,787.80, 9,374.94 and 5,407.56 is: 7,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.80 : 9,374.94 = 5,407.56 : x
  2. Step 2: Convert to fraction form
    6,787.80/9,374.94 = 5,407.56/x
  3. Step 3: Cross multiply
    6,787.80x = 9,374.94 × 5,407.56
  4. Step 4: Simplify right side
    6,787.80x = 50,695,550.55
  5. Step 5: Solve for x
    x = 50,695,550.55/6,787.80
  6. Step 6: Final answer
    x = 7,468.63

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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.