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Finding the Fourth Proportional to 7,709.88, 11,560.89 and 4,589.22

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Solution

The fourth proportional to 7,709.88, 11,560.89 and 4,589.22 is: 6,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.88 : 11,560.89 = 4,589.22 : x
  2. Step 2: Convert to fraction form
    7,709.88/11,560.89 = 4,589.22/x
  3. Step 3: Cross multiply
    7,709.88x = 11,560.89 × 4,589.22
  4. Step 4: Simplify right side
    7,709.88x = 53,055,467.61
  5. Step 5: Solve for x
    x = 53,055,467.61/7,709.88
  6. Step 6: Final answer
    x = 6,881.49

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1.5x scale

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.