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Finding the Fourth Proportional to 12,053.43, 18,011.04 and 9,188.06

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Solution

The fourth proportional to 12,053.43, 18,011.04 and 9,188.06 is: 13,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.43 : 18,011.04 = 9,188.06 : x
  2. Step 2: Convert to fraction form
    12,053.43/18,011.04 = 9,188.06/x
  3. Step 3: Cross multiply
    12,053.43x = 18,011.04 × 9,188.06
  4. Step 4: Simplify right side
    12,053.43x = 165,486,516.18
  5. Step 5: Solve for x
    x = 165,486,516.18/12,053.43
  6. Step 6: Final answer
    x = 13,729.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.