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Finding the Fourth Proportional to 5,609.07, 7,740.24 and 3,090.77

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Solution

The fourth proportional to 5,609.07, 7,740.24 and 3,090.77 is: 4,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.07 : 7,740.24 = 3,090.77 : x
  2. Step 2: Convert to fraction form
    5,609.07/7,740.24 = 3,090.77/x
  3. Step 3: Cross multiply
    5,609.07x = 7,740.24 × 3,090.77
  4. Step 4: Simplify right side
    5,609.07x = 23,923,280.32
  5. Step 5: Solve for x
    x = 23,923,280.32/5,609.07
  6. Step 6: Final answer
    x = 4,265.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.