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Finding the Fourth Proportional to 6,898, 9,521.40 and 4,414

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Solution

The fourth proportional to 6,898, 9,521.40 and 4,414 is: 6,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 9,521.40 = 4,414 : x
  2. Step 2: Convert to fraction form
    6,898/9,521.40 = 4,414/x
  3. Step 3: Cross multiply
    6,898x = 9,521.40 × 4,414
  4. Step 4: Simplify right side
    6,898x = 42,027,459.60
  5. Step 5: Solve for x
    x = 42,027,459.60/6,898
  6. Step 6: Final answer
    x = 6,092.70

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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.