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Finding the Fourth Proportional to 5,172.35, 7,700.02 and 5,141.60

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Solution

The fourth proportional to 5,172.35, 7,700.02 and 5,141.60 is: 7,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.35 : 7,700.02 = 5,141.60 : x
  2. Step 2: Convert to fraction form
    5,172.35/7,700.02 = 5,141.60/x
  3. Step 3: Cross multiply
    5,172.35x = 7,700.02 × 5,141.60
  4. Step 4: Simplify right side
    5,172.35x = 39,590,358.62
  5. Step 5: Solve for x
    x = 39,590,358.62/5,172.35
  6. Step 6: Final answer
    x = 7,654.23

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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.