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Finding the Fourth Proportional to 6,881.38, 9,496.50 and 3,737.76

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Solution

The fourth proportional to 6,881.38, 9,496.50 and 3,737.76 is: 5,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.38 : 9,496.50 = 3,737.76 : x
  2. Step 2: Convert to fraction form
    6,881.38/9,496.50 = 3,737.76/x
  3. Step 3: Cross multiply
    6,881.38x = 9,496.50 × 3,737.76
  4. Step 4: Simplify right side
    6,881.38x = 35,495,637.84
  5. Step 5: Solve for x
    x = 35,495,637.84/6,881.38
  6. Step 6: Final answer
    x = 5,158.22

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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.