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Finding the Fourth Proportional to 8,530.70, 12,787.24 and 4,626.86

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Solution

The fourth proportional to 8,530.70, 12,787.24 and 4,626.86 is: 6,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.70 : 12,787.24 = 4,626.86 : x
  2. Step 2: Convert to fraction form
    8,530.70/12,787.24 = 4,626.86/x
  3. Step 3: Cross multiply
    8,530.70x = 12,787.24 × 4,626.86
  4. Step 4: Simplify right side
    8,530.70x = 59,164,769.27
  5. Step 5: Solve for x
    x = 59,164,769.27/8,530.70
  6. Step 6: Final answer
    x = 6,935.51

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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.