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Finding the Fourth Proportional to 6,108.71, 8,430 and 3,314.21

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Solution

The fourth proportional to 6,108.71, 8,430 and 3,314.21 is: 4,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.71 : 8,430 = 3,314.21 : x
  2. Step 2: Convert to fraction form
    6,108.71/8,430 = 3,314.21/x
  3. Step 3: Cross multiply
    6,108.71x = 8,430 × 3,314.21
  4. Step 4: Simplify right side
    6,108.71x = 27,938,790.30
  5. Step 5: Solve for x
    x = 27,938,790.30/6,108.71
  6. Step 6: Final answer
    x = 4,573.60

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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.