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Finding the Fourth Proportional to 6,820.67, 9,409.47 and 4,167.59

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Solution

The fourth proportional to 6,820.67, 9,409.47 and 4,167.59 is: 5,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.67 : 9,409.47 = 4,167.59 : x
  2. Step 2: Convert to fraction form
    6,820.67/9,409.47 = 4,167.59/x
  3. Step 3: Cross multiply
    6,820.67x = 9,409.47 × 4,167.59
  4. Step 4: Simplify right side
    6,820.67x = 39,214,750.40
  5. Step 5: Solve for x
    x = 39,214,750.40/6,820.67
  6. Step 6: Final answer
    x = 5,749.40

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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.