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Finding the Fourth Proportional to 10,690.71, 14,751.91 and 5,910.01

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Solution

The fourth proportional to 10,690.71, 14,751.91 and 5,910.01 is: 8,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.71 : 14,751.91 = 5,910.01 : x
  2. Step 2: Convert to fraction form
    10,690.71/14,751.91 = 5,910.01/x
  3. Step 3: Cross multiply
    10,690.71x = 14,751.91 × 5,910.01
  4. Step 4: Simplify right side
    10,690.71x = 87,183,883.96
  5. Step 5: Solve for x
    x = 87,183,883.96/10,690.71
  6. Step 6: Final answer
    x = 8,155.11

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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.