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Finding the Fourth Proportional to 13,640.63, 20,425.30 and 9,237.47

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Solution

The fourth proportional to 13,640.63, 20,425.30 and 9,237.47 is: 13,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.63 : 20,425.30 = 9,237.47 : x
  2. Step 2: Convert to fraction form
    13,640.63/20,425.30 = 9,237.47/x
  3. Step 3: Cross multiply
    13,640.63x = 20,425.30 × 9,237.47
  4. Step 4: Simplify right side
    13,640.63x = 188,677,970.77
  5. Step 5: Solve for x
    x = 188,677,970.77/13,640.63
  6. Step 6: Final answer
    x = 13,832.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.