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Finding the Fourth Proportional to 12,102.21, 16,700.45 and 7,323.21

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Solution

The fourth proportional to 12,102.21, 16,700.45 and 7,323.21 is: 10,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.21 : 16,700.45 = 7,323.21 : x
  2. Step 2: Convert to fraction form
    12,102.21/16,700.45 = 7,323.21/x
  3. Step 3: Cross multiply
    12,102.21x = 16,700.45 × 7,323.21
  4. Step 4: Simplify right side
    12,102.21x = 122,300,865.83
  5. Step 5: Solve for x
    x = 122,300,865.83/12,102.21
  6. Step 6: Final answer
    x = 10,105.66

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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.