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Finding the Fourth Proportional to 5,166, 7,749 and 1,703.52

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Solution

The fourth proportional to 5,166, 7,749 and 1,703.52 is: 2,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,749 = 1,703.52 : x
  2. Step 2: Convert to fraction form
    5,166/7,749 = 1,703.52/x
  3. Step 3: Cross multiply
    5,166x = 7,749 × 1,703.52
  4. Step 4: Simplify right side
    5,166x = 13,200,576.48
  5. Step 5: Solve for x
    x = 13,200,576.48/5,166
  6. Step 6: Final answer
    x = 2,555.28

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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.