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Finding the Fourth Proportional to 14,118.16, 19,485.60 and 8,149

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Solution

The fourth proportional to 14,118.16, 19,485.60 and 8,149 is: 11,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.16 : 19,485.60 = 8,149 : x
  2. Step 2: Convert to fraction form
    14,118.16/19,485.60 = 8,149/x
  3. Step 3: Cross multiply
    14,118.16x = 19,485.60 × 8,149
  4. Step 4: Simplify right side
    14,118.16x = 158,788,154.40
  5. Step 5: Solve for x
    x = 158,788,154.40/14,118.16
  6. Step 6: Final answer
    x = 11,247.09

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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.