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Finding the Fourth Proportional to 8,722.24, 12,036 and 5,186.32

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Solution

The fourth proportional to 8,722.24, 12,036 and 5,186.32 is: 7,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.24 : 12,036 = 5,186.32 : x
  2. Step 2: Convert to fraction form
    8,722.24/12,036 = 5,186.32/x
  3. Step 3: Cross multiply
    8,722.24x = 12,036 × 5,186.32
  4. Step 4: Simplify right side
    8,722.24x = 62,422,547.52
  5. Step 5: Solve for x
    x = 62,422,547.52/8,722.24
  6. Step 6: Final answer
    x = 7,156.71

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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.