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Finding the Fourth Proportional to 2,807.93, 4,211.90 and 859.88

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Solution

The fourth proportional to 2,807.93, 4,211.90 and 859.88 is: 1,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.93 : 4,211.90 = 859.88 : x
  2. Step 2: Convert to fraction form
    2,807.93/4,211.90 = 859.88/x
  3. Step 3: Cross multiply
    2,807.93x = 4,211.90 × 859.88
  4. Step 4: Simplify right side
    2,807.93x = 3,621,724.27
  5. Step 5: Solve for x
    x = 3,621,724.27/2,807.93
  6. Step 6: Final answer
    x = 1,289.82

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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.