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Finding the Fourth Proportional to 2,104.09, 3,156.50 and 642.91

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Solution

The fourth proportional to 2,104.09, 3,156.50 and 642.91 is: 964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.09 : 3,156.50 = 642.91 : x
  2. Step 2: Convert to fraction form
    2,104.09/3,156.50 = 642.91/x
  3. Step 3: Cross multiply
    2,104.09x = 3,156.50 × 642.91
  4. Step 4: Simplify right side
    2,104.09x = 2,029,345.42
  5. Step 5: Solve for x
    x = 2,029,345.42/2,104.09
  6. Step 6: Final answer
    x = 964.48

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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.