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Finding the Fourth Proportional to 11,573.88, 15,972.08 and 6,857.24

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Solution

The fourth proportional to 11,573.88, 15,972.08 and 6,857.24 is: 9,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.88 : 15,972.08 = 6,857.24 : x
  2. Step 2: Convert to fraction form
    11,573.88/15,972.08 = 6,857.24/x
  3. Step 3: Cross multiply
    11,573.88x = 15,972.08 × 6,857.24
  4. Step 4: Simplify right side
    11,573.88x = 109,524,385.86
  5. Step 5: Solve for x
    x = 109,524,385.86/11,573.88
  6. Step 6: Final answer
    x = 9,463.07

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1.5x scale

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.