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Finding the Fourth Proportional to 11,002, 16,501.12 and 3,980.68

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Solution

The fourth proportional to 11,002, 16,501.12 and 3,980.68 is: 5,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002 : 16,501.12 = 3,980.68 : x
  2. Step 2: Convert to fraction form
    11,002/16,501.12 = 3,980.68/x
  3. Step 3: Cross multiply
    11,002x = 16,501.12 × 3,980.68
  4. Step 4: Simplify right side
    11,002x = 65,685,678.36
  5. Step 5: Solve for x
    x = 65,685,678.36/11,002
  6. Step 6: Final answer
    x = 5,970.34

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1.5x scale

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.