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Finding the Fourth Proportional to 4,658.78, 6,980.36 and 3,335.81

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Solution

The fourth proportional to 4,658.78, 6,980.36 and 3,335.81 is: 4,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.78 : 6,980.36 = 3,335.81 : x
  2. Step 2: Convert to fraction form
    4,658.78/6,980.36 = 3,335.81/x
  3. Step 3: Cross multiply
    4,658.78x = 6,980.36 × 3,335.81
  4. Step 4: Simplify right side
    4,658.78x = 23,285,103.11
  5. Step 5: Solve for x
    x = 23,285,103.11/4,658.78
  6. Step 6: Final answer
    x = 4,998.11

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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.