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Finding the Fourth Proportional to 6,881, 9,495.78 and 3,737.20

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Solution

The fourth proportional to 6,881, 9,495.78 and 3,737.20 is: 5,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881 : 9,495.78 = 3,737.20 : x
  2. Step 2: Convert to fraction form
    6,881/9,495.78 = 3,737.20/x
  3. Step 3: Cross multiply
    6,881x = 9,495.78 × 3,737.20
  4. Step 4: Simplify right side
    6,881x = 35,487,629.02
  5. Step 5: Solve for x
    x = 35,487,629.02/6,881
  6. Step 6: Final answer
    x = 5,157.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.