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Finding the Fourth Proportional to 13,813.68, 20,722.06 and 4,931.09

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Solution

The fourth proportional to 13,813.68, 20,722.06 and 4,931.09 is: 7,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.68 : 20,722.06 = 4,931.09 : x
  2. Step 2: Convert to fraction form
    13,813.68/20,722.06 = 4,931.09/x
  3. Step 3: Cross multiply
    13,813.68x = 20,722.06 × 4,931.09
  4. Step 4: Simplify right side
    13,813.68x = 102,182,295.37
  5. Step 5: Solve for x
    x = 102,182,295.37/13,813.68
  6. Step 6: Final answer
    x = 7,397.18

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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.