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Finding the Fourth Proportional to 5,155.88, 7,721.44 and 4,271.82

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Solution

The fourth proportional to 5,155.88, 7,721.44 and 4,271.82 is: 6,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.88 : 7,721.44 = 4,271.82 : x
  2. Step 2: Convert to fraction form
    5,155.88/7,721.44 = 4,271.82/x
  3. Step 3: Cross multiply
    5,155.88x = 7,721.44 × 4,271.82
  4. Step 4: Simplify right side
    5,155.88x = 32,984,601.82
  5. Step 5: Solve for x
    x = 32,984,601.82/5,155.88
  6. Step 6: Final answer
    x = 6,397.47

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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.