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Finding the Fourth Proportional to 12,609.15, 18,914.76 and 5,212.23

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Solution

The fourth proportional to 12,609.15, 18,914.76 and 5,212.23 is: 7,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.15 : 18,914.76 = 5,212.23 : x
  2. Step 2: Convert to fraction form
    12,609.15/18,914.76 = 5,212.23/x
  3. Step 3: Cross multiply
    12,609.15x = 18,914.76 × 5,212.23
  4. Step 4: Simplify right side
    12,609.15x = 98,588,079.51
  5. Step 5: Solve for x
    x = 98,588,079.51/12,609.15
  6. Step 6: Final answer
    x = 7,818.77

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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.