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Finding the Fourth Proportional to 14,618.60, 21,931.13 and 6,823.16

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Solution

The fourth proportional to 14,618.60, 21,931.13 and 6,823.16 is: 10,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,618.60 : 21,931.13 = 6,823.16 : x
  2. Step 2: Convert to fraction form
    14,618.60/21,931.13 = 6,823.16/x
  3. Step 3: Cross multiply
    14,618.60x = 21,931.13 × 6,823.16
  4. Step 4: Simplify right side
    14,618.60x = 149,639,608.97
  5. Step 5: Solve for x
    x = 149,639,608.97/14,618.60
  6. Step 6: Final answer
    x = 10,236.25

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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.