Home / 10,971.20-16,408.80-9,809.60

Finding the Fourth Proportional to 10,971.20, 16,408.80 and 9,809.60

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Solution

The fourth proportional to 10,971.20, 16,408.80 and 9,809.60 is: 14,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.20 : 16,408.80 = 9,809.60 : x
  2. Step 2: Convert to fraction form
    10,971.20/16,408.80 = 9,809.60/x
  3. Step 3: Cross multiply
    10,971.20x = 16,408.80 × 9,809.60
  4. Step 4: Simplify right side
    10,971.20x = 160,963,764.48
  5. Step 5: Solve for x
    x = 160,963,764.48/10,971.20
  6. Step 6: Final answer
    x = 14,671.48

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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.