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Finding the Fourth Proportional to 10,106.72, 13,947.94 and 6,128.20

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Solution

The fourth proportional to 10,106.72, 13,947.94 and 6,128.20 is: 8,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.72 : 13,947.94 = 6,128.20 : x
  2. Step 2: Convert to fraction form
    10,106.72/13,947.94 = 6,128.20/x
  3. Step 3: Cross multiply
    10,106.72x = 13,947.94 × 6,128.20
  4. Step 4: Simplify right side
    10,106.72x = 85,475,765.91
  5. Step 5: Solve for x
    x = 85,475,765.91/10,106.72
  6. Step 6: Final answer
    x = 8,457.32

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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.