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Finding the Fourth Proportional to 2,660.69, 3,670.76 and 1,541.22

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Solution

The fourth proportional to 2,660.69, 3,670.76 and 1,541.22 is: 2,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.69 : 3,670.76 = 1,541.22 : x
  2. Step 2: Convert to fraction form
    2,660.69/3,670.76 = 1,541.22/x
  3. Step 3: Cross multiply
    2,660.69x = 3,670.76 × 1,541.22
  4. Step 4: Simplify right side
    2,660.69x = 5,657,441.02
  5. Step 5: Solve for x
    x = 5,657,441.02/2,660.69
  6. Step 6: Final answer
    x = 2,126.30

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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.