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Finding the Fourth Proportional to 6,102.83, 8,420.80 and 5,262.65

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Solution

The fourth proportional to 6,102.83, 8,420.80 and 5,262.65 is: 7,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.83 : 8,420.80 = 5,262.65 : x
  2. Step 2: Convert to fraction form
    6,102.83/8,420.80 = 5,262.65/x
  3. Step 3: Cross multiply
    6,102.83x = 8,420.80 × 5,262.65
  4. Step 4: Simplify right side
    6,102.83x = 44,315,723.12
  5. Step 5: Solve for x
    x = 44,315,723.12/6,102.83
  6. Step 6: Final answer
    x = 7,261.50

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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.