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Finding the Fourth Proportional to 6,434.22, 9,645.86 and 6,128.04

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Solution

The fourth proportional to 6,434.22, 9,645.86 and 6,128.04 is: 9,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.22 : 9,645.86 = 6,128.04 : x
  2. Step 2: Convert to fraction form
    6,434.22/9,645.86 = 6,128.04/x
  3. Step 3: Cross multiply
    6,434.22x = 9,645.86 × 6,128.04
  4. Step 4: Simplify right side
    6,434.22x = 59,110,215.91
  5. Step 5: Solve for x
    x = 59,110,215.91/6,434.22
  6. Step 6: Final answer
    x = 9,186.85

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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.