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Finding the Fourth Proportional to 5,699.25, 7,864.98 and 3,215.25

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Solution

The fourth proportional to 5,699.25, 7,864.98 and 3,215.25 is: 4,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.25 : 7,864.98 = 3,215.25 : x
  2. Step 2: Convert to fraction form
    5,699.25/7,864.98 = 3,215.25/x
  3. Step 3: Cross multiply
    5,699.25x = 7,864.98 × 3,215.25
  4. Step 4: Simplify right side
    5,699.25x = 25,287,876.95
  5. Step 5: Solve for x
    x = 25,287,876.95/5,699.25
  6. Step 6: Final answer
    x = 4,437.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.