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Finding the Fourth Proportional to 13,575.84, 20,366.16 and 4,815.84

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Solution

The fourth proportional to 13,575.84, 20,366.16 and 4,815.84 is: 7,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.84 : 20,366.16 = 4,815.84 : x
  2. Step 2: Convert to fraction form
    13,575.84/20,366.16 = 4,815.84/x
  3. Step 3: Cross multiply
    13,575.84x = 20,366.16 × 4,815.84
  4. Step 4: Simplify right side
    13,575.84x = 98,080,167.97
  5. Step 5: Solve for x
    x = 98,080,167.97/13,575.84
  6. Step 6: Final answer
    x = 7,224.61

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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.