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Finding the Fourth Proportional to 18,967.92, 28,434.47 and 7,278.81

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Solution

The fourth proportional to 18,967.92, 28,434.47 and 7,278.81 is: 10,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,967.92 : 28,434.47 = 7,278.81 : x
  2. Step 2: Convert to fraction form
    18,967.92/28,434.47 = 7,278.81/x
  3. Step 3: Cross multiply
    18,967.92x = 28,434.47 × 7,278.81
  4. Step 4: Simplify right side
    18,967.92x = 206,969,068.19
  5. Step 5: Solve for x
    x = 206,969,068.19/18,967.92
  6. Step 6: Final answer
    x = 10,911.53

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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.