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Finding the Fourth Proportional to 5,610.74, 7,686.74 and 5,400.54

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Solution

The fourth proportional to 5,610.74, 7,686.74 and 5,400.54 is: 7,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.74 : 7,686.74 = 5,400.54 : x
  2. Step 2: Convert to fraction form
    5,610.74/7,686.74 = 5,400.54/x
  3. Step 3: Cross multiply
    5,610.74x = 7,686.74 × 5,400.54
  4. Step 4: Simplify right side
    5,610.74x = 41,512,519.84
  5. Step 5: Solve for x
    x = 41,512,519.84/5,610.74
  6. Step 6: Final answer
    x = 7,398.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.