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Finding the Fourth Proportional to 15,268.79, 22,905.92 and 7,871.27

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Solution

The fourth proportional to 15,268.79, 22,905.92 and 7,871.27 is: 11,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268.79 : 22,905.92 = 7,871.27 : x
  2. Step 2: Convert to fraction form
    15,268.79/22,905.92 = 7,871.27/x
  3. Step 3: Cross multiply
    15,268.79x = 22,905.92 × 7,871.27
  4. Step 4: Simplify right side
    15,268.79x = 180,298,586.07
  5. Step 5: Solve for x
    x = 180,298,586.07/15,268.79
  6. Step 6: Final answer
    x = 11,808.31

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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.