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Finding the Fourth Proportional to 14,083.92, 21,146.58 and 7,856.10

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Solution

The fourth proportional to 14,083.92, 21,146.58 and 7,856.10 is: 11,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.92 : 21,146.58 = 7,856.10 : x
  2. Step 2: Convert to fraction form
    14,083.92/21,146.58 = 7,856.10/x
  3. Step 3: Cross multiply
    14,083.92x = 21,146.58 × 7,856.10
  4. Step 4: Simplify right side
    14,083.92x = 166,129,647.14
  5. Step 5: Solve for x
    x = 166,129,647.14/14,083.92
  6. Step 6: Final answer
    x = 11,795.70

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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.