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Finding the Fourth Proportional to 5,174.76, 7,762.26 and 1,712

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Solution

The fourth proportional to 5,174.76, 7,762.26 and 1,712 is: 2,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.76 : 7,762.26 = 1,712 : x
  2. Step 2: Convert to fraction form
    5,174.76/7,762.26 = 1,712/x
  3. Step 3: Cross multiply
    5,174.76x = 7,762.26 × 1,712
  4. Step 4: Simplify right side
    5,174.76x = 13,288,989.12
  5. Step 5: Solve for x
    x = 13,288,989.12/5,174.76
  6. Step 6: Final answer
    x = 2,568.04

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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.