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Finding the Fourth Proportional to 5,157.12, 7,721.64 and 4,820.16

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Solution

The fourth proportional to 5,157.12, 7,721.64 and 4,820.16 is: 7,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.12 : 7,721.64 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    5,157.12/7,721.64 = 4,820.16/x
  3. Step 3: Cross multiply
    5,157.12x = 7,721.64 × 4,820.16
  4. Step 4: Simplify right side
    5,157.12x = 37,219,540.26
  5. Step 5: Solve for x
    x = 37,219,540.26/5,157.12
  6. Step 6: Final answer
    x = 7,217.12

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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.