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Finding the Fourth Proportional to 13,564.45, 18,706.45 and 9,308

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Solution

The fourth proportional to 13,564.45, 18,706.45 and 9,308 is: 12,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.45 : 18,706.45 = 9,308 : x
  2. Step 2: Convert to fraction form
    13,564.45/18,706.45 = 9,308/x
  3. Step 3: Cross multiply
    13,564.45x = 18,706.45 × 9,308
  4. Step 4: Simplify right side
    13,564.45x = 174,119,636.60
  5. Step 5: Solve for x
    x = 174,119,636.60/13,564.45
  6. Step 6: Final answer
    x = 12,836.47

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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.