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Finding the Fourth Proportional to 20,698.70, 31,030.63 and 9,003.11

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Solution

The fourth proportional to 20,698.70, 31,030.63 and 9,003.11 is: 13,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.70 : 31,030.63 = 9,003.11 : x
  2. Step 2: Convert to fraction form
    20,698.70/31,030.63 = 9,003.11/x
  3. Step 3: Cross multiply
    20,698.70x = 31,030.63 × 9,003.11
  4. Step 4: Simplify right side
    20,698.70x = 279,372,175.26
  5. Step 5: Solve for x
    x = 279,372,175.26/20,698.70
  6. Step 6: Final answer
    x = 13,497.09

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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.