Home / 10,830.36-16,235.82-3,900

Finding the Fourth Proportional to 10,830.36, 16,235.82 and 3,900

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Solution

The fourth proportional to 10,830.36, 16,235.82 and 3,900 is: 5,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.36 : 16,235.82 = 3,900 : x
  2. Step 2: Convert to fraction form
    10,830.36/16,235.82 = 3,900/x
  3. Step 3: Cross multiply
    10,830.36x = 16,235.82 × 3,900
  4. Step 4: Simplify right side
    10,830.36x = 63,319,698
  5. Step 5: Solve for x
    x = 63,319,698/10,830.36
  6. Step 6: Final answer
    x = 5,846.50

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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.