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Finding the Fourth Proportional to 5,646.75, 7,792.52 and 3,438.75

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Solution

The fourth proportional to 5,646.75, 7,792.52 and 3,438.75 is: 4,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.75 : 7,792.52 = 3,438.75 : x
  2. Step 2: Convert to fraction form
    5,646.75/7,792.52 = 3,438.75/x
  3. Step 3: Cross multiply
    5,646.75x = 7,792.52 × 3,438.75
  4. Step 4: Simplify right side
    5,646.75x = 26,796,510.96
  5. Step 5: Solve for x
    x = 26,796,510.96/5,646.75
  6. Step 6: Final answer
    x = 4,745.48

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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.