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Finding the Fourth Proportional to 7,561.78, 11,326.26 and 3,658

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Solution

The fourth proportional to 7,561.78, 11,326.26 and 3,658 is: 5,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.78 : 11,326.26 = 3,658 : x
  2. Step 2: Convert to fraction form
    7,561.78/11,326.26 = 3,658/x
  3. Step 3: Cross multiply
    7,561.78x = 11,326.26 × 3,658
  4. Step 4: Simplify right side
    7,561.78x = 41,431,459.08
  5. Step 5: Solve for x
    x = 41,431,459.08/7,561.78
  6. Step 6: Final answer
    x = 5,479.06

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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.