Home / 9,264-12,784.32-5,072.28

Finding the Fourth Proportional to 9,264, 12,784.32 and 5,072.28

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Solution

The fourth proportional to 9,264, 12,784.32 and 5,072.28 is: 6,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264 : 12,784.32 = 5,072.28 : x
  2. Step 2: Convert to fraction form
    9,264/12,784.32 = 5,072.28/x
  3. Step 3: Cross multiply
    9,264x = 12,784.32 × 5,072.28
  4. Step 4: Simplify right side
    9,264x = 64,845,650.65
  5. Step 5: Solve for x
    x = 64,845,650.65/9,264
  6. Step 6: Final answer
    x = 6,999.75

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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.