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Finding the Fourth Proportional to 13,701.22, 18,897.51 and 8,323.63

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Solution

The fourth proportional to 13,701.22, 18,897.51 and 8,323.63 is: 11,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.22 : 18,897.51 = 8,323.63 : x
  2. Step 2: Convert to fraction form
    13,701.22/18,897.51 = 8,323.63/x
  3. Step 3: Cross multiply
    13,701.22x = 18,897.51 × 8,323.63
  4. Step 4: Simplify right side
    13,701.22x = 157,295,881.16
  5. Step 5: Solve for x
    x = 157,295,881.16/13,701.22
  6. Step 6: Final answer
    x = 11,480.43

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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.