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Finding the Fourth Proportional to 6,853, 9,457.14 and 3,709.21

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Solution

The fourth proportional to 6,853, 9,457.14 and 3,709.21 is: 5,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853 : 9,457.14 = 3,709.21 : x
  2. Step 2: Convert to fraction form
    6,853/9,457.14 = 3,709.21/x
  3. Step 3: Cross multiply
    6,853x = 9,457.14 × 3,709.21
  4. Step 4: Simplify right side
    6,853x = 35,078,518.26
  5. Step 5: Solve for x
    x = 35,078,518.26/6,853
  6. Step 6: Final answer
    x = 5,118.71

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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.