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Finding the Fourth Proportional to 6,311.56, 8,709.06 and 3,586

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Solution

The fourth proportional to 6,311.56, 8,709.06 and 3,586 is: 4,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.56 : 8,709.06 = 3,586 : x
  2. Step 2: Convert to fraction form
    6,311.56/8,709.06 = 3,586/x
  3. Step 3: Cross multiply
    6,311.56x = 8,709.06 × 3,586
  4. Step 4: Simplify right side
    6,311.56x = 31,230,689.16
  5. Step 5: Solve for x
    x = 31,230,689.16/6,311.56
  6. Step 6: Final answer
    x = 4,948.17

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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.