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Finding the Fourth Proportional to 21,778.26, 30,054 and 12,346.83

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Solution

The fourth proportional to 21,778.26, 30,054 and 12,346.83 is: 17,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.26 : 30,054 = 12,346.83 : x
  2. Step 2: Convert to fraction form
    21,778.26/30,054 = 12,346.83/x
  3. Step 3: Cross multiply
    21,778.26x = 30,054 × 12,346.83
  4. Step 4: Simplify right side
    21,778.26x = 371,071,628.82
  5. Step 5: Solve for x
    x = 371,071,628.82/21,778.26
  6. Step 6: Final answer
    x = 17,038.63

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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.