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Finding the Fourth Proportional to 5,205.24, 7,802.94 and 1,740

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Solution

The fourth proportional to 5,205.24, 7,802.94 and 1,740 is: 2,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.24 : 7,802.94 = 1,740 : x
  2. Step 2: Convert to fraction form
    5,205.24/7,802.94 = 1,740/x
  3. Step 3: Cross multiply
    5,205.24x = 7,802.94 × 1,740
  4. Step 4: Simplify right side
    5,205.24x = 13,577,115.60
  5. Step 5: Solve for x
    x = 13,577,115.60/5,205.24
  6. Step 6: Final answer
    x = 2,608.36

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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.