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Finding the Fourth Proportional to 8,686.76, 13,024.51 and 5,716.21

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Solution

The fourth proportional to 8,686.76, 13,024.51 and 5,716.21 is: 8,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.76 : 13,024.51 = 5,716.21 : x
  2. Step 2: Convert to fraction form
    8,686.76/13,024.51 = 5,716.21/x
  3. Step 3: Cross multiply
    8,686.76x = 13,024.51 × 5,716.21
  4. Step 4: Simplify right side
    8,686.76x = 74,450,769.18
  5. Step 5: Solve for x
    x = 74,450,769.18/8,686.76
  6. Step 6: Final answer
    x = 8,570.61

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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.