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Finding the Fourth Proportional to 3,870.99, 5,802.23 and 1,675.49

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Solution

The fourth proportional to 3,870.99, 5,802.23 and 1,675.49 is: 2,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.99 : 5,802.23 = 1,675.49 : x
  2. Step 2: Convert to fraction form
    3,870.99/5,802.23 = 1,675.49/x
  3. Step 3: Cross multiply
    3,870.99x = 5,802.23 × 1,675.49
  4. Step 4: Simplify right side
    3,870.99x = 9,721,553.52
  5. Step 5: Solve for x
    x = 9,721,553.52/3,870.99
  6. Step 6: Final answer
    x = 2,511.39

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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.