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Finding the Fourth Proportional to 8,306.88, 11,461.23 and 5,786.16

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Solution

The fourth proportional to 8,306.88, 11,461.23 and 5,786.16 is: 7,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.88 : 11,461.23 = 5,786.16 : x
  2. Step 2: Convert to fraction form
    8,306.88/11,461.23 = 5,786.16/x
  3. Step 3: Cross multiply
    8,306.88x = 11,461.23 × 5,786.16
  4. Step 4: Simplify right side
    8,306.88x = 66,316,510.58
  5. Step 5: Solve for x
    x = 66,316,510.58/8,306.88
  6. Step 6: Final answer
    x = 7,983.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.