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Finding the Fourth Proportional to 5,321.40, 7,985.72 and 1,858.64

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Solution

The fourth proportional to 5,321.40, 7,985.72 and 1,858.64 is: 2,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.40 : 7,985.72 = 1,858.64 : x
  2. Step 2: Convert to fraction form
    5,321.40/7,985.72 = 1,858.64/x
  3. Step 3: Cross multiply
    5,321.40x = 7,985.72 × 1,858.64
  4. Step 4: Simplify right side
    5,321.40x = 14,842,578.62
  5. Step 5: Solve for x
    x = 14,842,578.62/5,321.40
  6. Step 6: Final answer
    x = 2,789.22

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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.