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Finding the Fourth Proportional to 12,102.66, 18,154.01 and 3,782.72

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Solution

The fourth proportional to 12,102.66, 18,154.01 and 3,782.72 is: 5,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.66 : 18,154.01 = 3,782.72 : x
  2. Step 2: Convert to fraction form
    12,102.66/18,154.01 = 3,782.72/x
  3. Step 3: Cross multiply
    12,102.66x = 18,154.01 × 3,782.72
  4. Step 4: Simplify right side
    12,102.66x = 68,671,572.64
  5. Step 5: Solve for x
    x = 68,671,572.64/12,102.66
  6. Step 6: Final answer
    x = 5,674.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.