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Finding the Fourth Proportional to 7,740.42, 11,600.48 and 3,579.88

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Solution

The fourth proportional to 7,740.42, 11,600.48 and 3,579.88 is: 5,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.42 : 11,600.48 = 3,579.88 : x
  2. Step 2: Convert to fraction form
    7,740.42/11,600.48 = 3,579.88/x
  3. Step 3: Cross multiply
    7,740.42x = 11,600.48 × 3,579.88
  4. Step 4: Simplify right side
    7,740.42x = 41,528,326.34
  5. Step 5: Solve for x
    x = 41,528,326.34/7,740.42
  6. Step 6: Final answer
    x = 5,365.13

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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.