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Finding the Fourth Proportional to 8,266.64, 11,410 and 5,120.96

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Solution

The fourth proportional to 8,266.64, 11,410 and 5,120.96 is: 7,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.64 : 11,410 = 5,120.96 : x
  2. Step 2: Convert to fraction form
    8,266.64/11,410 = 5,120.96/x
  3. Step 3: Cross multiply
    8,266.64x = 11,410 × 5,120.96
  4. Step 4: Simplify right side
    8,266.64x = 58,430,153.60
  5. Step 5: Solve for x
    x = 58,430,153.60/8,266.64
  6. Step 6: Final answer
    x = 7,068.19

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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.