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Finding the Fourth Proportional to 12,031.69, 18,012.33 and 7,018.74

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Solution

The fourth proportional to 12,031.69, 18,012.33 and 7,018.74 is: 10,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.69 : 18,012.33 = 7,018.74 : x
  2. Step 2: Convert to fraction form
    12,031.69/18,012.33 = 7,018.74/x
  3. Step 3: Cross multiply
    12,031.69x = 18,012.33 × 7,018.74
  4. Step 4: Simplify right side
    12,031.69x = 126,423,861.06
  5. Step 5: Solve for x
    x = 126,423,861.06/12,031.69
  6. Step 6: Final answer
    x = 10,507.57

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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.