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Finding the Fourth Proportional to 2,807.58, 4,209.07 and 2,112.90

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Solution

The fourth proportional to 2,807.58, 4,209.07 and 2,112.90 is: 3,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.58 : 4,209.07 = 2,112.90 : x
  2. Step 2: Convert to fraction form
    2,807.58/4,209.07 = 2,112.90/x
  3. Step 3: Cross multiply
    2,807.58x = 4,209.07 × 2,112.90
  4. Step 4: Simplify right side
    2,807.58x = 8,893,344.00
  5. Step 5: Solve for x
    x = 8,893,344.00/2,807.58
  6. Step 6: Final answer
    x = 3,167.62

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1.5x scale

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.