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Finding the Fourth Proportional to 13,187.52, 18,181.80 and 8,470.08

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Solution

The fourth proportional to 13,187.52, 18,181.80 and 8,470.08 is: 11,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.52 : 18,181.80 = 8,470.08 : x
  2. Step 2: Convert to fraction form
    13,187.52/18,181.80 = 8,470.08/x
  3. Step 3: Cross multiply
    13,187.52x = 18,181.80 × 8,470.08
  4. Step 4: Simplify right side
    13,187.52x = 154,001,300.54
  5. Step 5: Solve for x
    x = 154,001,300.54/13,187.52
  6. Step 6: Final answer
    x = 11,677.81

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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.