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Finding the Fourth Proportional to 9,261.86, 12,787.34 and 8,265.44

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Solution

The fourth proportional to 9,261.86, 12,787.34 and 8,265.44 is: 11,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.86 : 12,787.34 = 8,265.44 : x
  2. Step 2: Convert to fraction form
    9,261.86/12,787.34 = 8,265.44/x
  3. Step 3: Cross multiply
    9,261.86x = 12,787.34 × 8,265.44
  4. Step 4: Simplify right side
    9,261.86x = 105,692,991.53
  5. Step 5: Solve for x
    x = 105,692,991.53/9,261.86
  6. Step 6: Final answer
    x = 11,411.64

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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.