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Finding the Fourth Proportional to 6,900.84, 9,521.54 and 3,916

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Solution

The fourth proportional to 6,900.84, 9,521.54 and 3,916 is: 5,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.84 : 9,521.54 = 3,916 : x
  2. Step 2: Convert to fraction form
    6,900.84/9,521.54 = 3,916/x
  3. Step 3: Cross multiply
    6,900.84x = 9,521.54 × 3,916
  4. Step 4: Simplify right side
    6,900.84x = 37,286,350.64
  5. Step 5: Solve for x
    x = 37,286,350.64/6,900.84
  6. Step 6: Final answer
    x = 5,403.16

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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.