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Finding the Fourth Proportional to 9,250.10, 13,873.71 and 3,010.22

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Solution

The fourth proportional to 9,250.10, 13,873.71 and 3,010.22 is: 4,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.10 : 13,873.71 = 3,010.22 : x
  2. Step 2: Convert to fraction form
    9,250.10/13,873.71 = 3,010.22/x
  3. Step 3: Cross multiply
    9,250.10x = 13,873.71 × 3,010.22
  4. Step 4: Simplify right side
    9,250.10x = 41,762,919.32
  5. Step 5: Solve for x
    x = 41,762,919.32/9,250.10
  6. Step 6: Final answer
    x = 4,514.86

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1.5x scale

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.