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Finding the Fourth Proportional to 6,486.89, 9,741.26 and 6,435.86

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Solution

The fourth proportional to 6,486.89, 9,741.26 and 6,435.86 is: 9,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.89 : 9,741.26 = 6,435.86 : x
  2. Step 2: Convert to fraction form
    6,486.89/9,741.26 = 6,435.86/x
  3. Step 3: Cross multiply
    6,486.89x = 9,741.26 × 6,435.86
  4. Step 4: Simplify right side
    6,486.89x = 62,693,352.97
  5. Step 5: Solve for x
    x = 62,693,352.97/6,486.89
  6. Step 6: Final answer
    x = 9,664.63

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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.