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Finding the Fourth Proportional to 10,980.40, 16,472.20 and 3,585.20

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Solution

The fourth proportional to 10,980.40, 16,472.20 and 3,585.20 is: 5,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.40 : 16,472.20 = 3,585.20 : x
  2. Step 2: Convert to fraction form
    10,980.40/16,472.20 = 3,585.20/x
  3. Step 3: Cross multiply
    10,980.40x = 16,472.20 × 3,585.20
  4. Step 4: Simplify right side
    10,980.40x = 59,056,131.44
  5. Step 5: Solve for x
    x = 59,056,131.44/10,980.40
  6. Step 6: Final answer
    x = 5,378.32

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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.