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Finding the Fourth Proportional to 5,672.16, 7,826.42 and 3,153.90

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Solution

The fourth proportional to 5,672.16, 7,826.42 and 3,153.90 is: 4,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.16 : 7,826.42 = 3,153.90 : x
  2. Step 2: Convert to fraction form
    5,672.16/7,826.42 = 3,153.90/x
  3. Step 3: Cross multiply
    5,672.16x = 7,826.42 × 3,153.90
  4. Step 4: Simplify right side
    5,672.16x = 24,683,783.27
  5. Step 5: Solve for x
    x = 24,683,783.27/5,672.16
  6. Step 6: Final answer
    x = 4,351.74

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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.