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Finding the Fourth Proportional to 2,107.72, 2,907.08 and 1,548.02

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Solution

The fourth proportional to 2,107.72, 2,907.08 and 1,548.02 is: 2,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.72 : 2,907.08 = 1,548.02 : x
  2. Step 2: Convert to fraction form
    2,107.72/2,907.08 = 1,548.02/x
  3. Step 3: Cross multiply
    2,107.72x = 2,907.08 × 1,548.02
  4. Step 4: Simplify right side
    2,107.72x = 4,500,217.98
  5. Step 5: Solve for x
    x = 4,500,217.98/2,107.72
  6. Step 6: Final answer
    x = 2,135.11

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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.