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Finding the Fourth Proportional to 6,451.56, 9,677.34 and 4,259.78

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Solution

The fourth proportional to 6,451.56, 9,677.34 and 4,259.78 is: 6,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.56 : 9,677.34 = 4,259.78 : x
  2. Step 2: Convert to fraction form
    6,451.56/9,677.34 = 4,259.78/x
  3. Step 3: Cross multiply
    6,451.56x = 9,677.34 × 4,259.78
  4. Step 4: Simplify right side
    6,451.56x = 41,223,291.00
  5. Step 5: Solve for x
    x = 41,223,291.00/6,451.56
  6. Step 6: Final answer
    x = 6,389.66

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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.