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Finding the Fourth Proportional to 8,564.66, 11,823.53 and 5,382.57

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Solution

The fourth proportional to 8,564.66, 11,823.53 and 5,382.57 is: 7,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.66 : 11,823.53 = 5,382.57 : x
  2. Step 2: Convert to fraction form
    8,564.66/11,823.53 = 5,382.57/x
  3. Step 3: Cross multiply
    8,564.66x = 11,823.53 × 5,382.57
  4. Step 4: Simplify right side
    8,564.66x = 63,640,977.87
  5. Step 5: Solve for x
    x = 63,640,977.87/8,564.66
  6. Step 6: Final answer
    x = 7,430.65

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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.