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Finding the Fourth Proportional to 11,970.86, 16,529.47 and 7,724.03

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Solution

The fourth proportional to 11,970.86, 16,529.47 and 7,724.03 is: 10,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.86 : 16,529.47 = 7,724.03 : x
  2. Step 2: Convert to fraction form
    11,970.86/16,529.47 = 7,724.03/x
  3. Step 3: Cross multiply
    11,970.86x = 16,529.47 × 7,724.03
  4. Step 4: Simplify right side
    11,970.86x = 127,674,020.21
  5. Step 5: Solve for x
    x = 127,674,020.21/11,970.86
  6. Step 6: Final answer
    x = 10,665.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.