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Finding the Fourth Proportional to 15,433.92, 23,140.34 and 7,424.46

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Solution

The fourth proportional to 15,433.92, 23,140.34 and 7,424.46 is: 11,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433.92 : 23,140.34 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    15,433.92/23,140.34 = 7,424.46/x
  3. Step 3: Cross multiply
    15,433.92x = 23,140.34 × 7,424.46
  4. Step 4: Simplify right side
    15,433.92x = 171,804,528.72
  5. Step 5: Solve for x
    x = 171,804,528.72/15,433.92
  6. Step 6: Final answer
    x = 11,131.62

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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.