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Finding the Fourth Proportional to 5,617.46, 8,430.78 and 3,975.60

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Solution

The fourth proportional to 5,617.46, 8,430.78 and 3,975.60 is: 5,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.46 : 8,430.78 = 3,975.60 : x
  2. Step 2: Convert to fraction form
    5,617.46/8,430.78 = 3,975.60/x
  3. Step 3: Cross multiply
    5,617.46x = 8,430.78 × 3,975.60
  4. Step 4: Simplify right side
    5,617.46x = 33,517,408.97
  5. Step 5: Solve for x
    x = 33,517,408.97/5,617.46
  6. Step 6: Final answer
    x = 5,966.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.