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Finding the Fourth Proportional to 12,283.25, 16,950.87 and 6,978.05

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Solution

The fourth proportional to 12,283.25, 16,950.87 and 6,978.05 is: 9,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.25 : 16,950.87 = 6,978.05 : x
  2. Step 2: Convert to fraction form
    12,283.25/16,950.87 = 6,978.05/x
  3. Step 3: Cross multiply
    12,283.25x = 16,950.87 × 6,978.05
  4. Step 4: Simplify right side
    12,283.25x = 118,283,997.21
  5. Step 5: Solve for x
    x = 118,283,997.21/12,283.25
  6. Step 6: Final answer
    x = 9,629.70

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1.5x scale

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.