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Finding the Fourth Proportional to 5,142.82, 7,721.52 and 4,907.92

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Solution

The fourth proportional to 5,142.82, 7,721.52 and 4,907.92 is: 7,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.82 : 7,721.52 = 4,907.92 : x
  2. Step 2: Convert to fraction form
    5,142.82/7,721.52 = 4,907.92/x
  3. Step 3: Cross multiply
    5,142.82x = 7,721.52 × 4,907.92
  4. Step 4: Simplify right side
    5,142.82x = 37,896,602.44
  5. Step 5: Solve for x
    x = 37,896,602.44/5,142.82
  6. Step 6: Final answer
    x = 7,368.84

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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.