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Finding the Fourth Proportional to 14,477.94, 19,977.03 and 8,189.10

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Solution

The fourth proportional to 14,477.94, 19,977.03 and 8,189.10 is: 11,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.94 : 19,977.03 = 8,189.10 : x
  2. Step 2: Convert to fraction form
    14,477.94/19,977.03 = 8,189.10/x
  3. Step 3: Cross multiply
    14,477.94x = 19,977.03 × 8,189.10
  4. Step 4: Simplify right side
    14,477.94x = 163,593,896.37
  5. Step 5: Solve for x
    x = 163,593,896.37/14,477.94
  6. Step 6: Final answer
    x = 11,299.53

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1.5x scale

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.