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Finding the Fourth Proportional to 6,555.50, 9,838.30 and 4,893.78

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Solution

The fourth proportional to 6,555.50, 9,838.30 and 4,893.78 is: 7,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.50 : 9,838.30 = 4,893.78 : x
  2. Step 2: Convert to fraction form
    6,555.50/9,838.30 = 4,893.78/x
  3. Step 3: Cross multiply
    6,555.50x = 9,838.30 × 4,893.78
  4. Step 4: Simplify right side
    6,555.50x = 48,146,475.77
  5. Step 5: Solve for x
    x = 48,146,475.77/6,555.50
  6. Step 6: Final answer
    x = 7,344.44

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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.