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Finding the Fourth Proportional to 14,006, 20,994.36 and 7,430.36

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Solution

The fourth proportional to 14,006, 20,994.36 and 7,430.36 is: 11,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 20,994.36 = 7,430.36 : x
  2. Step 2: Convert to fraction form
    14,006/20,994.36 = 7,430.36/x
  3. Step 3: Cross multiply
    14,006x = 20,994.36 × 7,430.36
  4. Step 4: Simplify right side
    14,006x = 155,995,652.77
  5. Step 5: Solve for x
    x = 155,995,652.77/14,006
  6. Step 6: Final answer
    x = 11,137.77

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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.