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Finding the Fourth Proportional to 5,290.98, 7,936.53 and 3,647.08

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Solution

The fourth proportional to 5,290.98, 7,936.53 and 3,647.08 is: 5,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.98 : 7,936.53 = 3,647.08 : x
  2. Step 2: Convert to fraction form
    5,290.98/7,936.53 = 3,647.08/x
  3. Step 3: Cross multiply
    5,290.98x = 7,936.53 × 3,647.08
  4. Step 4: Simplify right side
    5,290.98x = 28,945,159.83
  5. Step 5: Solve for x
    x = 28,945,159.83/5,290.98
  6. Step 6: Final answer
    x = 5,470.66

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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.