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Finding the Fourth Proportional to 12,833.63, 17,710.05 and 7,168.21

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Solution

The fourth proportional to 12,833.63, 17,710.05 and 7,168.21 is: 9,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.63 : 17,710.05 = 7,168.21 : x
  2. Step 2: Convert to fraction form
    12,833.63/17,710.05 = 7,168.21/x
  3. Step 3: Cross multiply
    12,833.63x = 17,710.05 × 7,168.21
  4. Step 4: Simplify right side
    12,833.63x = 126,949,379.25
  5. Step 5: Solve for x
    x = 126,949,379.25/12,833.63
  6. Step 6: Final answer
    x = 9,891.93

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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.