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Finding the Fourth Proportional to 2,807.73, 4,209.30 and 2,113.02

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Solution

The fourth proportional to 2,807.73, 4,209.30 and 2,113.02 is: 3,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.73 : 4,209.30 = 2,113.02 : x
  2. Step 2: Convert to fraction form
    2,807.73/4,209.30 = 2,113.02/x
  3. Step 3: Cross multiply
    2,807.73x = 4,209.30 × 2,113.02
  4. Step 4: Simplify right side
    2,807.73x = 8,894,335.09
  5. Step 5: Solve for x
    x = 8,894,335.09/2,807.73
  6. Step 6: Final answer
    x = 3,167.80

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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.