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Finding the Fourth Proportional to 5,271.32, 7,942.15 and 4,771.61

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Solution

The fourth proportional to 5,271.32, 7,942.15 and 4,771.61 is: 7,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.32 : 7,942.15 = 4,771.61 : x
  2. Step 2: Convert to fraction form
    5,271.32/7,942.15 = 4,771.61/x
  3. Step 3: Cross multiply
    5,271.32x = 7,942.15 × 4,771.61
  4. Step 4: Simplify right side
    5,271.32x = 37,896,842.36
  5. Step 5: Solve for x
    x = 37,896,842.36/5,271.32
  6. Step 6: Final answer
    x = 7,189.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.