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Finding the Fourth Proportional to 5,172.63, 7,760.47 and 2,982.93

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Solution

The fourth proportional to 5,172.63, 7,760.47 and 2,982.93 is: 4,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.63 : 7,760.47 = 2,982.93 : x
  2. Step 2: Convert to fraction form
    5,172.63/7,760.47 = 2,982.93/x
  3. Step 3: Cross multiply
    5,172.63x = 7,760.47 × 2,982.93
  4. Step 4: Simplify right side
    5,172.63x = 23,148,938.78
  5. Step 5: Solve for x
    x = 23,148,938.78/5,172.63
  6. Step 6: Final answer
    x = 4,475.27

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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.