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Finding the Fourth Proportional to 10,221.96, 15,336.18 and 3,648

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Solution

The fourth proportional to 10,221.96, 15,336.18 and 3,648 is: 5,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.96 : 15,336.18 = 3,648 : x
  2. Step 2: Convert to fraction form
    10,221.96/15,336.18 = 3,648/x
  3. Step 3: Cross multiply
    10,221.96x = 15,336.18 × 3,648
  4. Step 4: Simplify right side
    10,221.96x = 55,946,384.64
  5. Step 5: Solve for x
    x = 55,946,384.64/10,221.96
  6. Step 6: Final answer
    x = 5,473.16

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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.