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Finding the Fourth Proportional to 14,010.86, 19,336.20 and 7,724.48

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Solution

The fourth proportional to 14,010.86, 19,336.20 and 7,724.48 is: 10,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.86 : 19,336.20 = 7,724.48 : x
  2. Step 2: Convert to fraction form
    14,010.86/19,336.20 = 7,724.48/x
  3. Step 3: Cross multiply
    14,010.86x = 19,336.20 × 7,724.48
  4. Step 4: Simplify right side
    14,010.86x = 149,362,090.18
  5. Step 5: Solve for x
    x = 149,362,090.18/14,010.86
  6. Step 6: Final answer
    x = 10,660.45

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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.