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Finding the Fourth Proportional to 4,111.54, 5,678.65 and 2,997.46

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Solution

The fourth proportional to 4,111.54, 5,678.65 and 2,997.46 is: 4,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.54 : 5,678.65 = 2,997.46 : x
  2. Step 2: Convert to fraction form
    4,111.54/5,678.65 = 2,997.46/x
  3. Step 3: Cross multiply
    4,111.54x = 5,678.65 × 2,997.46
  4. Step 4: Simplify right side
    4,111.54x = 17,021,526.23
  5. Step 5: Solve for x
    x = 17,021,526.23/4,111.54
  6. Step 6: Final answer
    x = 4,139.94

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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.