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Finding the Fourth Proportional to 8,209.01, 11,301.05 and 7,832.40

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Solution

The fourth proportional to 8,209.01, 11,301.05 and 7,832.40 is: 10,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.01 : 11,301.05 = 7,832.40 : x
  2. Step 2: Convert to fraction form
    8,209.01/11,301.05 = 7,832.40/x
  3. Step 3: Cross multiply
    8,209.01x = 11,301.05 × 7,832.40
  4. Step 4: Simplify right side
    8,209.01x = 88,514,304.86
  5. Step 5: Solve for x
    x = 88,514,304.86/8,209.01
  6. Step 6: Final answer
    x = 10,782.59

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1.5x scale

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.