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Finding the Fourth Proportional to 5,175.56, 7,764.78 and 1,715.24

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Solution

The fourth proportional to 5,175.56, 7,764.78 and 1,715.24 is: 2,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.56 : 7,764.78 = 1,715.24 : x
  2. Step 2: Convert to fraction form
    5,175.56/7,764.78 = 1,715.24/x
  3. Step 3: Cross multiply
    5,175.56x = 7,764.78 × 1,715.24
  4. Step 4: Simplify right side
    5,175.56x = 13,318,461.25
  5. Step 5: Solve for x
    x = 13,318,461.25/5,175.56
  6. Step 6: Final answer
    x = 2,573.34

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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.