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Finding the Fourth Proportional to 10,255.46, 14,152.20 and 6,480.68

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Solution

The fourth proportional to 10,255.46, 14,152.20 and 6,480.68 is: 8,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.46 : 14,152.20 = 6,480.68 : x
  2. Step 2: Convert to fraction form
    10,255.46/14,152.20 = 6,480.68/x
  3. Step 3: Cross multiply
    10,255.46x = 14,152.20 × 6,480.68
  4. Step 4: Simplify right side
    10,255.46x = 91,715,879.50
  5. Step 5: Solve for x
    x = 91,715,879.50/10,255.46
  6. Step 6: Final answer
    x = 8,943.13

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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.