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Finding the Fourth Proportional to 13,212.50, 18,233.25 and 7,908.08

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Solution

The fourth proportional to 13,212.50, 18,233.25 and 7,908.08 is: 10,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.50 : 18,233.25 = 7,908.08 : x
  2. Step 2: Convert to fraction form
    13,212.50/18,233.25 = 7,908.08/x
  3. Step 3: Cross multiply
    13,212.50x = 18,233.25 × 7,908.08
  4. Step 4: Simplify right side
    13,212.50x = 144,189,999.66
  5. Step 5: Solve for x
    x = 144,189,999.66/13,212.50
  6. Step 6: Final answer
    x = 10,913.15

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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.