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Finding the Fourth Proportional to 13,080, 19,620.24 and 3,219.24

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Solution

The fourth proportional to 13,080, 19,620.24 and 3,219.24 is: 4,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080 : 19,620.24 = 3,219.24 : x
  2. Step 2: Convert to fraction form
    13,080/19,620.24 = 3,219.24/x
  3. Step 3: Cross multiply
    13,080x = 19,620.24 × 3,219.24
  4. Step 4: Simplify right side
    13,080x = 63,162,261.42
  5. Step 5: Solve for x
    x = 63,162,261.42/13,080
  6. Step 6: Final answer
    x = 4,828.92

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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.