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Finding the Fourth Proportional to 1,541.14, 2,308.65 and 1,415.14

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Solution

The fourth proportional to 1,541.14, 2,308.65 and 1,415.14 is: 2,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.14 : 2,308.65 = 1,415.14 : x
  2. Step 2: Convert to fraction form
    1,541.14/2,308.65 = 1,415.14/x
  3. Step 3: Cross multiply
    1,541.14x = 2,308.65 × 1,415.14
  4. Step 4: Simplify right side
    1,541.14x = 3,267,062.96
  5. Step 5: Solve for x
    x = 3,267,062.96/1,541.14
  6. Step 6: Final answer
    x = 2,119.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.