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Finding the Fourth Proportional to 8,513, 12,767.08 and 3,583.76

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Solution

The fourth proportional to 8,513, 12,767.08 and 3,583.76 is: 5,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513 : 12,767.08 = 3,583.76 : x
  2. Step 2: Convert to fraction form
    8,513/12,767.08 = 3,583.76/x
  3. Step 3: Cross multiply
    8,513x = 12,767.08 × 3,583.76
  4. Step 4: Simplify right side
    8,513x = 45,754,150.62
  5. Step 5: Solve for x
    x = 45,754,150.62/8,513
  6. Step 6: Final answer
    x = 5,374.62

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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.