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Finding the Fourth Proportional to 14,131.06, 21,182.72 and 7,894.06

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Solution

The fourth proportional to 14,131.06, 21,182.72 and 7,894.06 is: 11,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.06 : 21,182.72 = 7,894.06 : x
  2. Step 2: Convert to fraction form
    14,131.06/21,182.72 = 7,894.06/x
  3. Step 3: Cross multiply
    14,131.06x = 21,182.72 × 7,894.06
  4. Step 4: Simplify right side
    14,131.06x = 167,217,570.22
  5. Step 5: Solve for x
    x = 167,217,570.22/14,131.06
  6. Step 6: Final answer
    x = 11,833.34

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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.