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Finding the Fourth Proportional to 6,900, 9,521.96 and 3,916.40

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Solution

The fourth proportional to 6,900, 9,521.96 and 3,916.40 is: 5,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 9,521.96 = 3,916.40 : x
  2. Step 2: Convert to fraction form
    6,900/9,521.96 = 3,916.40/x
  3. Step 3: Cross multiply
    6,900x = 9,521.96 × 3,916.40
  4. Step 4: Simplify right side
    6,900x = 37,291,804.14
  5. Step 5: Solve for x
    x = 37,291,804.14/6,900
  6. Step 6: Final answer
    x = 5,404.61

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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.