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Finding the Fourth Proportional to 12,695.92, 19,047 and 10,252.88

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Solution

The fourth proportional to 12,695.92, 19,047 and 10,252.88 is: 15,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.92 : 19,047 = 10,252.88 : x
  2. Step 2: Convert to fraction form
    12,695.92/19,047 = 10,252.88/x
  3. Step 3: Cross multiply
    12,695.92x = 19,047 × 10,252.88
  4. Step 4: Simplify right side
    12,695.92x = 195,286,605.36
  5. Step 5: Solve for x
    x = 195,286,605.36/12,695.92
  6. Step 6: Final answer
    x = 15,381.84

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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.