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Finding the Fourth Proportional to 12,213.29, 16,854.99 and 6,835.40

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Solution

The fourth proportional to 12,213.29, 16,854.99 and 6,835.40 is: 9,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.29 : 16,854.99 = 6,835.40 : x
  2. Step 2: Convert to fraction form
    12,213.29/16,854.99 = 6,835.40/x
  3. Step 3: Cross multiply
    12,213.29x = 16,854.99 × 6,835.40
  4. Step 4: Simplify right side
    12,213.29x = 115,210,564.47
  5. Step 5: Solve for x
    x = 115,210,564.47/12,213.29
  6. Step 6: Final answer
    x = 9,433.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.