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Finding the Fourth Proportional to 20,398.58, 30,609.99 and 11,038.40

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Solution

The fourth proportional to 20,398.58, 30,609.99 and 11,038.40 is: 16,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398.58 : 30,609.99 = 11,038.40 : x
  2. Step 2: Convert to fraction form
    20,398.58/30,609.99 = 11,038.40/x
  3. Step 3: Cross multiply
    20,398.58x = 30,609.99 × 11,038.40
  4. Step 4: Simplify right side
    20,398.58x = 337,885,390.14
  5. Step 5: Solve for x
    x = 337,885,390.14/20,398.58
  6. Step 6: Final answer
    x = 16,564.17

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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.