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Finding the Fourth Proportional to 8,509.65, 11,747.03 and 4,972.29

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Solution

The fourth proportional to 8,509.65, 11,747.03 and 4,972.29 is: 6,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.65 : 11,747.03 = 4,972.29 : x
  2. Step 2: Convert to fraction form
    8,509.65/11,747.03 = 4,972.29/x
  3. Step 3: Cross multiply
    8,509.65x = 11,747.03 × 4,972.29
  4. Step 4: Simplify right side
    8,509.65x = 58,409,614.94
  5. Step 5: Solve for x
    x = 58,409,614.94/8,509.65
  6. Step 6: Final answer
    x = 6,863.93

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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.