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Finding the Fourth Proportional to 6,872.56, 9,483.80 and 4,078

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Solution

The fourth proportional to 6,872.56, 9,483.80 and 4,078 is: 5,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.56 : 9,483.80 = 4,078 : x
  2. Step 2: Convert to fraction form
    6,872.56/9,483.80 = 4,078/x
  3. Step 3: Cross multiply
    6,872.56x = 9,483.80 × 4,078
  4. Step 4: Simplify right side
    6,872.56x = 38,674,936.40
  5. Step 5: Solve for x
    x = 38,674,936.40/6,872.56
  6. Step 6: Final answer
    x = 5,627.44

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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.