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Finding the Fourth Proportional to 5,142.70, 7,721.34 and 4,907.80

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Solution

The fourth proportional to 5,142.70, 7,721.34 and 4,907.80 is: 7,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.70 : 7,721.34 = 4,907.80 : x
  2. Step 2: Convert to fraction form
    5,142.70/7,721.34 = 4,907.80/x
  3. Step 3: Cross multiply
    5,142.70x = 7,721.34 × 4,907.80
  4. Step 4: Simplify right side
    5,142.70x = 37,894,792.45
  5. Step 5: Solve for x
    x = 37,894,792.45/5,142.70
  6. Step 6: Final answer
    x = 7,368.66

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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.