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Finding the Fourth Proportional to 5,174.50, 7,762.70 and 1,665.04

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Solution

The fourth proportional to 5,174.50, 7,762.70 and 1,665.04 is: 2,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.50 : 7,762.70 = 1,665.04 : x
  2. Step 2: Convert to fraction form
    5,174.50/7,762.70 = 1,665.04/x
  3. Step 3: Cross multiply
    5,174.50x = 7,762.70 × 1,665.04
  4. Step 4: Simplify right side
    5,174.50x = 12,925,206.01
  5. Step 5: Solve for x
    x = 12,925,206.01/5,174.50
  6. Step 6: Final answer
    x = 2,497.87

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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.