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Finding the Fourth Proportional to 12,215, 16,857.06 and 6,909.71

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Solution

The fourth proportional to 12,215, 16,857.06 and 6,909.71 is: 9,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215 : 16,857.06 = 6,909.71 : x
  2. Step 2: Convert to fraction form
    12,215/16,857.06 = 6,909.71/x
  3. Step 3: Cross multiply
    12,215x = 16,857.06 × 6,909.71
  4. Step 4: Simplify right side
    12,215x = 116,477,396.05
  5. Step 5: Solve for x
    x = 116,477,396.05/12,215
  6. Step 6: Final answer
    x = 9,535.60

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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.