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Finding the Fourth Proportional to 5,157.21, 7,720.77 and 4,664.76

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Solution

The fourth proportional to 5,157.21, 7,720.77 and 4,664.76 is: 6,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.21 : 7,720.77 = 4,664.76 : x
  2. Step 2: Convert to fraction form
    5,157.21/7,720.77 = 4,664.76/x
  3. Step 3: Cross multiply
    5,157.21x = 7,720.77 × 4,664.76
  4. Step 4: Simplify right side
    5,157.21x = 36,015,539.07
  5. Step 5: Solve for x
    x = 36,015,539.07/5,157.21
  6. Step 6: Final answer
    x = 6,983.53

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1.5x scale

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.