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Finding the Fourth Proportional to 8,530.57, 12,792.48 and 4,087

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Solution

The fourth proportional to 8,530.57, 12,792.48 and 4,087 is: 6,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.57 : 12,792.48 = 4,087 : x
  2. Step 2: Convert to fraction form
    8,530.57/12,792.48 = 4,087/x
  3. Step 3: Cross multiply
    8,530.57x = 12,792.48 × 4,087
  4. Step 4: Simplify right side
    8,530.57x = 52,282,865.76
  5. Step 5: Solve for x
    x = 52,282,865.76/8,530.57
  6. Step 6: Final answer
    x = 6,128.88

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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.