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Finding the Fourth Proportional to 8,489, 11,715.18 and 4,763

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Solution

The fourth proportional to 8,489, 11,715.18 and 4,763 is: 6,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489 : 11,715.18 = 4,763 : x
  2. Step 2: Convert to fraction form
    8,489/11,715.18 = 4,763/x
  3. Step 3: Cross multiply
    8,489x = 11,715.18 × 4,763
  4. Step 4: Simplify right side
    8,489x = 55,799,402.34
  5. Step 5: Solve for x
    x = 55,799,402.34/8,489
  6. Step 6: Final answer
    x = 6,573.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.