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Finding the Fourth Proportional to 8,957.64, 12,362.46 and 5,181

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Solution

The fourth proportional to 8,957.64, 12,362.46 and 5,181 is: 7,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.64 : 12,362.46 = 5,181 : x
  2. Step 2: Convert to fraction form
    8,957.64/12,362.46 = 5,181/x
  3. Step 3: Cross multiply
    8,957.64x = 12,362.46 × 5,181
  4. Step 4: Simplify right side
    8,957.64x = 64,049,905.26
  5. Step 5: Solve for x
    x = 64,049,905.26/8,957.64
  6. Step 6: Final answer
    x = 7,150.31

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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.