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Finding the Fourth Proportional to 12,833.94, 17,710.39 and 7,168.64

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Solution

The fourth proportional to 12,833.94, 17,710.39 and 7,168.64 is: 9,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.94 : 17,710.39 = 7,168.64 : x
  2. Step 2: Convert to fraction form
    12,833.94/17,710.39 = 7,168.64/x
  3. Step 3: Cross multiply
    12,833.94x = 17,710.39 × 7,168.64
  4. Step 4: Simplify right side
    12,833.94x = 126,959,410.17
  5. Step 5: Solve for x
    x = 126,959,410.17/12,833.94
  6. Step 6: Final answer
    x = 9,892.47

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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.