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Finding the Fourth Proportional to 13,698.71, 18,898.21 and 8,030.57

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Solution

The fourth proportional to 13,698.71, 18,898.21 and 8,030.57 is: 11,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.71 : 18,898.21 = 8,030.57 : x
  2. Step 2: Convert to fraction form
    13,698.71/18,898.21 = 8,030.57/x
  3. Step 3: Cross multiply
    13,698.71x = 18,898.21 × 8,030.57
  4. Step 4: Simplify right side
    13,698.71x = 151,763,425.45
  5. Step 5: Solve for x
    x = 151,763,425.45/13,698.71
  6. Step 6: Final answer
    x = 11,078.67

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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.