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Finding the Fourth Proportional to 8,683, 11,984.16 and 4,957

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Solution

The fourth proportional to 8,683, 11,984.16 and 4,957 is: 6,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683 : 11,984.16 = 4,957 : x
  2. Step 2: Convert to fraction form
    8,683/11,984.16 = 4,957/x
  3. Step 3: Cross multiply
    8,683x = 11,984.16 × 4,957
  4. Step 4: Simplify right side
    8,683x = 59,405,481.12
  5. Step 5: Solve for x
    x = 59,405,481.12/8,683
  6. Step 6: Final answer
    x = 6,841.58

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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.