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Finding the Fourth Proportional to 5,158.40, 7,721.40 and 4,056.80

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Solution

The fourth proportional to 5,158.40, 7,721.40 and 4,056.80 is: 6,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.40 : 7,721.40 = 4,056.80 : x
  2. Step 2: Convert to fraction form
    5,158.40/7,721.40 = 4,056.80/x
  3. Step 3: Cross multiply
    5,158.40x = 7,721.40 × 4,056.80
  4. Step 4: Simplify right side
    5,158.40x = 31,324,175.52
  5. Step 5: Solve for x
    x = 31,324,175.52/5,158.40
  6. Step 6: Final answer
    x = 6,072.46

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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.