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Finding the Fourth Proportional to 2,807.96, 4,210.71 and 1,491.42

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Solution

The fourth proportional to 2,807.96, 4,210.71 and 1,491.42 is: 2,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.96 : 4,210.71 = 1,491.42 : x
  2. Step 2: Convert to fraction form
    2,807.96/4,210.71 = 1,491.42/x
  3. Step 3: Cross multiply
    2,807.96x = 4,210.71 × 1,491.42
  4. Step 4: Simplify right side
    2,807.96x = 6,279,932.01
  5. Step 5: Solve for x
    x = 6,279,932.01/2,807.96
  6. Step 6: Final answer
    x = 2,236.48

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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.