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Finding the Fourth Proportional to 8,535.91, 12,787.46 and 4,827.12

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Solution

The fourth proportional to 8,535.91, 12,787.46 and 4,827.12 is: 7,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.91 : 12,787.46 = 4,827.12 : x
  2. Step 2: Convert to fraction form
    8,535.91/12,787.46 = 4,827.12/x
  3. Step 3: Cross multiply
    8,535.91x = 12,787.46 × 4,827.12
  4. Step 4: Simplify right side
    8,535.91x = 61,726,603.92
  5. Step 5: Solve for x
    x = 61,726,603.92/8,535.91
  6. Step 6: Final answer
    x = 7,231.40

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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.