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Finding the Fourth Proportional to 10,860.30, 14,989.53 and 8,314.83

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Solution

The fourth proportional to 10,860.30, 14,989.53 and 8,314.83 is: 11,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.30 : 14,989.53 = 8,314.83 : x
  2. Step 2: Convert to fraction form
    10,860.30/14,989.53 = 8,314.83/x
  3. Step 3: Cross multiply
    10,860.30x = 14,989.53 × 8,314.83
  4. Step 4: Simplify right side
    10,860.30x = 124,635,393.73
  5. Step 5: Solve for x
    x = 124,635,393.73/10,860.30
  6. Step 6: Final answer
    x = 11,476.24

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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.