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Finding the Fourth Proportional to 8,300.62, 11,444.88 and 6,782.57

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Solution

The fourth proportional to 8,300.62, 11,444.88 and 6,782.57 is: 9,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.62 : 11,444.88 = 6,782.57 : x
  2. Step 2: Convert to fraction form
    8,300.62/11,444.88 = 6,782.57/x
  3. Step 3: Cross multiply
    8,300.62x = 11,444.88 × 6,782.57
  4. Step 4: Simplify right side
    8,300.62x = 77,625,710.87
  5. Step 5: Solve for x
    x = 77,625,710.87/8,300.62
  6. Step 6: Final answer
    x = 9,351.80

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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.