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Finding the Fourth Proportional to 11,703.64, 16,150.44 and 6,986.20

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Solution

The fourth proportional to 11,703.64, 16,150.44 and 6,986.20 is: 9,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.64 : 16,150.44 = 6,986.20 : x
  2. Step 2: Convert to fraction form
    11,703.64/16,150.44 = 6,986.20/x
  3. Step 3: Cross multiply
    11,703.64x = 16,150.44 × 6,986.20
  4. Step 4: Simplify right side
    11,703.64x = 112,830,203.93
  5. Step 5: Solve for x
    x = 112,830,203.93/11,703.64
  6. Step 6: Final answer
    x = 9,640.61

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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.