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Finding the Fourth Proportional to 5,177.72, 7,729 and 4,792.24

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Solution

The fourth proportional to 5,177.72, 7,729 and 4,792.24 is: 7,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.72 : 7,729 = 4,792.24 : x
  2. Step 2: Convert to fraction form
    5,177.72/7,729 = 4,792.24/x
  3. Step 3: Cross multiply
    5,177.72x = 7,729 × 4,792.24
  4. Step 4: Simplify right side
    5,177.72x = 37,039,222.96
  5. Step 5: Solve for x
    x = 37,039,222.96/5,177.72
  6. Step 6: Final answer
    x = 7,153.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.