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Finding the Fourth Proportional to 5,206.64, 7,807.90 and 2,245.31

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Solution

The fourth proportional to 5,206.64, 7,807.90 and 2,245.31 is: 3,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.64 : 7,807.90 = 2,245.31 : x
  2. Step 2: Convert to fraction form
    5,206.64/7,807.90 = 2,245.31/x
  3. Step 3: Cross multiply
    5,206.64x = 7,807.90 × 2,245.31
  4. Step 4: Simplify right side
    5,206.64x = 17,531,155.95
  5. Step 5: Solve for x
    x = 17,531,155.95/5,206.64
  6. Step 6: Final answer
    x = 3,367.08

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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.