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Finding the Fourth Proportional to 13,481, 20,215.58 and 6,813.40

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Solution

The fourth proportional to 13,481, 20,215.58 and 6,813.40 is: 10,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481 : 20,215.58 = 6,813.40 : x
  2. Step 2: Convert to fraction form
    13,481/20,215.58 = 6,813.40/x
  3. Step 3: Cross multiply
    13,481x = 20,215.58 × 6,813.40
  4. Step 4: Simplify right side
    13,481x = 137,736,832.77
  5. Step 5: Solve for x
    x = 137,736,832.77/13,481
  6. Step 6: Final answer
    x = 10,217.11

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1.5x scale

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.