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Finding the Fourth Proportional to 10,803.56, 14,912.64 and 6,328.75

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Solution

The fourth proportional to 10,803.56, 14,912.64 and 6,328.75 is: 8,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.56 : 14,912.64 = 6,328.75 : x
  2. Step 2: Convert to fraction form
    10,803.56/14,912.64 = 6,328.75/x
  3. Step 3: Cross multiply
    10,803.56x = 14,912.64 × 6,328.75
  4. Step 4: Simplify right side
    10,803.56x = 94,378,370.40
  5. Step 5: Solve for x
    x = 94,378,370.40/10,803.56
  6. Step 6: Final answer
    x = 8,735.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.