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Finding the Fourth Proportional to 13,640.43, 18,826.10 and 7,897.05

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Solution

The fourth proportional to 13,640.43, 18,826.10 and 7,897.05 is: 10,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.43 : 18,826.10 = 7,897.05 : x
  2. Step 2: Convert to fraction form
    13,640.43/18,826.10 = 7,897.05/x
  3. Step 3: Cross multiply
    13,640.43x = 18,826.10 × 7,897.05
  4. Step 4: Simplify right side
    13,640.43x = 148,670,684.13
  5. Step 5: Solve for x
    x = 148,670,684.13/13,640.43
  6. Step 6: Final answer
    x = 10,899.27

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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.