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Finding the Fourth Proportional to 12,937.70, 17,878.23 and 11,022.50

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Solution

The fourth proportional to 12,937.70, 17,878.23 and 11,022.50 is: 15,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.70 : 17,878.23 = 11,022.50 : x
  2. Step 2: Convert to fraction form
    12,937.70/17,878.23 = 11,022.50/x
  3. Step 3: Cross multiply
    12,937.70x = 17,878.23 × 11,022.50
  4. Step 4: Simplify right side
    12,937.70x = 197,062,790.18
  5. Step 5: Solve for x
    x = 197,062,790.18/12,937.70
  6. Step 6: Final answer
    x = 15,231.67

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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.