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Finding the Fourth Proportional to 6,877.66, 9,491.20 and 3,733.84

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Solution

The fourth proportional to 6,877.66, 9,491.20 and 3,733.84 is: 5,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.66 : 9,491.20 = 3,733.84 : x
  2. Step 2: Convert to fraction form
    6,877.66/9,491.20 = 3,733.84/x
  3. Step 3: Cross multiply
    6,877.66x = 9,491.20 × 3,733.84
  4. Step 4: Simplify right side
    6,877.66x = 35,438,622.21
  5. Step 5: Solve for x
    x = 35,438,622.21/6,877.66
  6. Step 6: Final answer
    x = 5,152.72

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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.