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Finding the Fourth Proportional to 13,706.63, 18,918.69 and 8,938.46

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Solution

The fourth proportional to 13,706.63, 18,918.69 and 8,938.46 is: 12,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.63 : 18,918.69 = 8,938.46 : x
  2. Step 2: Convert to fraction form
    13,706.63/18,918.69 = 8,938.46/x
  3. Step 3: Cross multiply
    13,706.63x = 18,918.69 × 8,938.46
  4. Step 4: Simplify right side
    13,706.63x = 169,104,001.11
  5. Step 5: Solve for x
    x = 169,104,001.11/13,706.63
  6. Step 6: Final answer
    x = 12,337.39

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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.