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Finding the Fourth Proportional to 10,985.20, 16,477.80 and 8,033.20

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Solution

The fourth proportional to 10,985.20, 16,477.80 and 8,033.20 is: 12,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.20 : 16,477.80 = 8,033.20 : x
  2. Step 2: Convert to fraction form
    10,985.20/16,477.80 = 8,033.20/x
  3. Step 3: Cross multiply
    10,985.20x = 16,477.80 × 8,033.20
  4. Step 4: Simplify right side
    10,985.20x = 132,369,462.96
  5. Step 5: Solve for x
    x = 132,369,462.96/10,985.20
  6. Step 6: Final answer
    x = 12,049.80

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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.