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Finding the Fourth Proportional to 14,111.23, 19,473.72 and 7,738.40

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Solution

The fourth proportional to 14,111.23, 19,473.72 and 7,738.40 is: 10,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.23 : 19,473.72 = 7,738.40 : x
  2. Step 2: Convert to fraction form
    14,111.23/19,473.72 = 7,738.40/x
  3. Step 3: Cross multiply
    14,111.23x = 19,473.72 × 7,738.40
  4. Step 4: Simplify right side
    14,111.23x = 150,695,434.85
  5. Step 5: Solve for x
    x = 150,695,434.85/14,111.23
  6. Step 6: Final answer
    x = 10,679.11

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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.