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Finding the Fourth Proportional to 7,409.78, 10,225.77 and 4,052.39

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Solution

The fourth proportional to 7,409.78, 10,225.77 and 4,052.39 is: 5,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.78 : 10,225.77 = 4,052.39 : x
  2. Step 2: Convert to fraction form
    7,409.78/10,225.77 = 4,052.39/x
  3. Step 3: Cross multiply
    7,409.78x = 10,225.77 × 4,052.39
  4. Step 4: Simplify right side
    7,409.78x = 41,438,808.09
  5. Step 5: Solve for x
    x = 41,438,808.09/7,409.78
  6. Step 6: Final answer
    x = 5,592.45

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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.