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Finding the Fourth Proportional to 2,102.74, 2,901.75 and 1,513.87

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Solution

The fourth proportional to 2,102.74, 2,901.75 and 1,513.87 is: 2,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.74 : 2,901.75 = 1,513.87 : x
  2. Step 2: Convert to fraction form
    2,102.74/2,901.75 = 1,513.87/x
  3. Step 3: Cross multiply
    2,102.74x = 2,901.75 × 1,513.87
  4. Step 4: Simplify right side
    2,102.74x = 4,392,872.27
  5. Step 5: Solve for x
    x = 4,392,872.27/2,102.74
  6. Step 6: Final answer
    x = 2,089.12

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Why These Related Problems?

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