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Finding the Fourth Proportional to 10,661.92, 15,994.80 and 4,821.28

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Solution

The fourth proportional to 10,661.92, 15,994.80 and 4,821.28 is: 7,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.92 : 15,994.80 = 4,821.28 : x
  2. Step 2: Convert to fraction form
    10,661.92/15,994.80 = 4,821.28/x
  3. Step 3: Cross multiply
    10,661.92x = 15,994.80 × 4,821.28
  4. Step 4: Simplify right side
    10,661.92x = 77,115,409.34
  5. Step 5: Solve for x
    x = 77,115,409.34/10,661.92
  6. Step 6: Final answer
    x = 7,232.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.