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Finding the Fourth Proportional to 13,843, 19,111.98 and 8,883.64

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Solution

The fourth proportional to 13,843, 19,111.98 and 8,883.64 is: 12,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843 : 19,111.98 = 8,883.64 : x
  2. Step 2: Convert to fraction form
    13,843/19,111.98 = 8,883.64/x
  3. Step 3: Cross multiply
    13,843x = 19,111.98 × 8,883.64
  4. Step 4: Simplify right side
    13,843x = 169,783,950.01
  5. Step 5: Solve for x
    x = 169,783,950.01/13,843
  6. Step 6: Final answer
    x = 12,264.97

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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.