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Finding the Fourth Proportional to 9,165.64, 13,749.54 and 6,871.72

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Solution

The fourth proportional to 9,165.64, 13,749.54 and 6,871.72 is: 10,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.64 : 13,749.54 = 6,871.72 : x
  2. Step 2: Convert to fraction form
    9,165.64/13,749.54 = 6,871.72/x
  3. Step 3: Cross multiply
    9,165.64x = 13,749.54 × 6,871.72
  4. Step 4: Simplify right side
    9,165.64x = 94,482,989.01
  5. Step 5: Solve for x
    x = 94,482,989.01/9,165.64
  6. Step 6: Final answer
    x = 10,308.39

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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.