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Finding the Fourth Proportional to 13,649.63, 18,836.02 and 7,680.94

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Solution

The fourth proportional to 13,649.63, 18,836.02 and 7,680.94 is: 10,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.63 : 18,836.02 = 7,680.94 : x
  2. Step 2: Convert to fraction form
    13,649.63/18,836.02 = 7,680.94/x
  3. Step 3: Cross multiply
    13,649.63x = 18,836.02 × 7,680.94
  4. Step 4: Simplify right side
    13,649.63x = 144,678,301.97
  5. Step 5: Solve for x
    x = 144,678,301.97/13,649.63
  6. Step 6: Final answer
    x = 10,599.43

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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.