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Finding the Fourth Proportional to 12,825, 17,698.50 and 6,937

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Solution

The fourth proportional to 12,825, 17,698.50 and 6,937 is: 9,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 17,698.50 = 6,937 : x
  2. Step 2: Convert to fraction form
    12,825/17,698.50 = 6,937/x
  3. Step 3: Cross multiply
    12,825x = 17,698.50 × 6,937
  4. Step 4: Simplify right side
    12,825x = 122,774,494.50
  5. Step 5: Solve for x
    x = 122,774,494.50/12,825
  6. Step 6: Final answer
    x = 9,573.06

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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.