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Finding the Fourth Proportional to 6,620.98, 9,916.35 and 3,160.66

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Solution

The fourth proportional to 6,620.98, 9,916.35 and 3,160.66 is: 4,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.98 : 9,916.35 = 3,160.66 : x
  2. Step 2: Convert to fraction form
    6,620.98/9,916.35 = 3,160.66/x
  3. Step 3: Cross multiply
    6,620.98x = 9,916.35 × 3,160.66
  4. Step 4: Simplify right side
    6,620.98x = 31,342,210.79
  5. Step 5: Solve for x
    x = 31,342,210.79/6,620.98
  6. Step 6: Final answer
    x = 4,733.77

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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.