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Finding the Fourth Proportional to 8,407.31, 11,605.16 and 6,832.67

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Solution

The fourth proportional to 8,407.31, 11,605.16 and 6,832.67 is: 9,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.31 : 11,605.16 = 6,832.67 : x
  2. Step 2: Convert to fraction form
    8,407.31/11,605.16 = 6,832.67/x
  3. Step 3: Cross multiply
    8,407.31x = 11,605.16 × 6,832.67
  4. Step 4: Simplify right side
    8,407.31x = 79,294,194.41
  5. Step 5: Solve for x
    x = 79,294,194.41/8,407.31
  6. Step 6: Final answer
    x = 9,431.58

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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.