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Finding the Fourth Proportional to 10,682.80, 14,742.01 and 5,903.15

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Solution

The fourth proportional to 10,682.80, 14,742.01 and 5,903.15 is: 8,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.80 : 14,742.01 = 5,903.15 : x
  2. Step 2: Convert to fraction form
    10,682.80/14,742.01 = 5,903.15/x
  3. Step 3: Cross multiply
    10,682.80x = 14,742.01 × 5,903.15
  4. Step 4: Simplify right side
    10,682.80x = 87,024,230.00
  5. Step 5: Solve for x
    x = 87,024,230.00/10,682.80
  6. Step 6: Final answer
    x = 8,146.20

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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.