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Finding the Fourth Proportional to 14,047.66, 19,385.25 and 8,078.95

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Solution

The fourth proportional to 14,047.66, 19,385.25 and 8,078.95 is: 11,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.66 : 19,385.25 = 8,078.95 : x
  2. Step 2: Convert to fraction form
    14,047.66/19,385.25 = 8,078.95/x
  3. Step 3: Cross multiply
    14,047.66x = 19,385.25 × 8,078.95
  4. Step 4: Simplify right side
    14,047.66x = 156,612,465.49
  5. Step 5: Solve for x
    x = 156,612,465.49/14,047.66
  6. Step 6: Final answer
    x = 11,148.65

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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.