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Finding the Fourth Proportional to 3,539.56, 5,310.80 and 1,564.15

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Solution

The fourth proportional to 3,539.56, 5,310.80 and 1,564.15 is: 2,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.56 : 5,310.80 = 1,564.15 : x
  2. Step 2: Convert to fraction form
    3,539.56/5,310.80 = 1,564.15/x
  3. Step 3: Cross multiply
    3,539.56x = 5,310.80 × 1,564.15
  4. Step 4: Simplify right side
    3,539.56x = 8,306,870.63
  5. Step 5: Solve for x
    x = 8,306,870.63/3,539.56
  6. Step 6: Final answer
    x = 2,346.86

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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.