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Finding the Fourth Proportional to 7,710.26, 11,570 and 3,327.72

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Solution

The fourth proportional to 7,710.26, 11,570 and 3,327.72 is: 4,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.26 : 11,570 = 3,327.72 : x
  2. Step 2: Convert to fraction form
    7,710.26/11,570 = 3,327.72/x
  3. Step 3: Cross multiply
    7,710.26x = 11,570 × 3,327.72
  4. Step 4: Simplify right side
    7,710.26x = 38,501,720.40
  5. Step 5: Solve for x
    x = 38,501,720.40/7,710.26
  6. Step 6: Final answer
    x = 4,993.57

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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.