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Finding the Fourth Proportional to 13,180.71, 19,751.49 and 12,854.73

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Solution

The fourth proportional to 13,180.71, 19,751.49 and 12,854.73 is: 19,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.71 : 19,751.49 = 12,854.73 : x
  2. Step 2: Convert to fraction form
    13,180.71/19,751.49 = 12,854.73/x
  3. Step 3: Cross multiply
    13,180.71x = 19,751.49 × 12,854.73
  4. Step 4: Simplify right side
    13,180.71x = 253,900,071.05
  5. Step 5: Solve for x
    x = 253,900,071.05/13,180.71
  6. Step 6: Final answer
    x = 19,263.00

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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.