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Finding the Fourth Proportional to 8,927.66, 13,386.47 and 3,661.22

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Solution

The fourth proportional to 8,927.66, 13,386.47 and 3,661.22 is: 5,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.66 : 13,386.47 = 3,661.22 : x
  2. Step 2: Convert to fraction form
    8,927.66/13,386.47 = 3,661.22/x
  3. Step 3: Cross multiply
    8,927.66x = 13,386.47 × 3,661.22
  4. Step 4: Simplify right side
    8,927.66x = 49,010,811.69
  5. Step 5: Solve for x
    x = 49,010,811.69/8,927.66
  6. Step 6: Final answer
    x = 5,489.77

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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.