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Finding the Fourth Proportional to 8,952.88, 13,431.75 and 2,712.64

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Solution

The fourth proportional to 8,952.88, 13,431.75 and 2,712.64 is: 4,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.88 : 13,431.75 = 2,712.64 : x
  2. Step 2: Convert to fraction form
    8,952.88/13,431.75 = 2,712.64/x
  3. Step 3: Cross multiply
    8,952.88x = 13,431.75 × 2,712.64
  4. Step 4: Simplify right side
    8,952.88x = 36,435,502.32
  5. Step 5: Solve for x
    x = 36,435,502.32/8,952.88
  6. Step 6: Final answer
    x = 4,069.70

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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.