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Finding the Fourth Proportional to 2,807.42, 4,211.14 and 859.64

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Solution

The fourth proportional to 2,807.42, 4,211.14 and 859.64 is: 1,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.42 : 4,211.14 = 859.64 : x
  2. Step 2: Convert to fraction form
    2,807.42/4,211.14 = 859.64/x
  3. Step 3: Cross multiply
    2,807.42x = 4,211.14 × 859.64
  4. Step 4: Simplify right side
    2,807.42x = 3,620,064.39
  5. Step 5: Solve for x
    x = 3,620,064.39/2,807.42
  6. Step 6: Final answer
    x = 1,289.46

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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.