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Finding the Fourth Proportional to 9,116.96, 13,666.32 and 7,862.47

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Solution

The fourth proportional to 9,116.96, 13,666.32 and 7,862.47 is: 11,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.96 : 13,666.32 = 7,862.47 : x
  2. Step 2: Convert to fraction form
    9,116.96/13,666.32 = 7,862.47/x
  3. Step 3: Cross multiply
    9,116.96x = 13,666.32 × 7,862.47
  4. Step 4: Simplify right side
    9,116.96x = 107,450,996.84
  5. Step 5: Solve for x
    x = 107,450,996.84/9,116.96
  6. Step 6: Final answer
    x = 11,785.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.