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Finding the Fourth Proportional to 6,856.20, 10,276.20 and 6,159.60

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Solution

The fourth proportional to 6,856.20, 10,276.20 and 6,159.60 is: 9,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.20 : 10,276.20 = 6,159.60 : x
  2. Step 2: Convert to fraction form
    6,856.20/10,276.20 = 6,159.60/x
  3. Step 3: Cross multiply
    6,856.20x = 10,276.20 × 6,159.60
  4. Step 4: Simplify right side
    6,856.20x = 63,297,281.52
  5. Step 5: Solve for x
    x = 63,297,281.52/6,856.20
  6. Step 6: Final answer
    x = 9,232.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.