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Finding the Fourth Proportional to 8,720, 13,082.56 and 2,564.16

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Solution

The fourth proportional to 8,720, 13,082.56 and 2,564.16 is: 3,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720 : 13,082.56 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    8,720/13,082.56 = 2,564.16/x
  3. Step 3: Cross multiply
    8,720x = 13,082.56 × 2,564.16
  4. Step 4: Simplify right side
    8,720x = 33,545,777.05
  5. Step 5: Solve for x
    x = 33,545,777.05/8,720
  6. Step 6: Final answer
    x = 3,846.99

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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.