Home / 10,084-13,917.72-9,641.20

Finding the Fourth Proportional to 10,084, 13,917.72 and 9,641.20

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Solution

The fourth proportional to 10,084, 13,917.72 and 9,641.20 is: 13,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084 : 13,917.72 = 9,641.20 : x
  2. Step 2: Convert to fraction form
    10,084/13,917.72 = 9,641.20/x
  3. Step 3: Cross multiply
    10,084x = 13,917.72 × 9,641.20
  4. Step 4: Simplify right side
    10,084x = 134,183,522.06
  5. Step 5: Solve for x
    x = 134,183,522.06/10,084
  6. Step 6: Final answer
    x = 13,306.58

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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.