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Finding the Fourth Proportional to 9,787.15, 14,718.75 and 8,163.91

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Solution

The fourth proportional to 9,787.15, 14,718.75 and 8,163.91 is: 12,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.15 : 14,718.75 = 8,163.91 : x
  2. Step 2: Convert to fraction form
    9,787.15/14,718.75 = 8,163.91/x
  3. Step 3: Cross multiply
    9,787.15x = 14,718.75 × 8,163.91
  4. Step 4: Simplify right side
    9,787.15x = 120,162,550.31
  5. Step 5: Solve for x
    x = 120,162,550.31/9,787.15
  6. Step 6: Final answer
    x = 12,277.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.