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Finding the Fourth Proportional to 8,509.65, 11,733.81 and 5,821.31

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Solution

The fourth proportional to 8,509.65, 11,733.81 and 5,821.31 is: 8,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.65 : 11,733.81 = 5,821.31 : x
  2. Step 2: Convert to fraction form
    8,509.65/11,733.81 = 5,821.31/x
  3. Step 3: Cross multiply
    8,509.65x = 11,733.81 × 5,821.31
  4. Step 4: Simplify right side
    8,509.65x = 68,306,086.82
  5. Step 5: Solve for x
    x = 68,306,086.82/8,509.65
  6. Step 6: Final answer
    x = 8,026.90

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1.5x scale

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.