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Finding the Fourth Proportional to 7,838.56, 11,742.69 and 4,878.20

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Solution

The fourth proportional to 7,838.56, 11,742.69 and 4,878.20 is: 7,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.56 : 11,742.69 = 4,878.20 : x
  2. Step 2: Convert to fraction form
    7,838.56/11,742.69 = 4,878.20/x
  3. Step 3: Cross multiply
    7,838.56x = 11,742.69 × 4,878.20
  4. Step 4: Simplify right side
    7,838.56x = 57,283,190.36
  5. Step 5: Solve for x
    x = 57,283,190.36/7,838.56
  6. Step 6: Final answer
    x = 7,307.87

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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.