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Finding the Fourth Proportional to 13,504.68, 18,640.44 and 7,840.80

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Solution

The fourth proportional to 13,504.68, 18,640.44 and 7,840.80 is: 10,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.68 : 18,640.44 = 7,840.80 : x
  2. Step 2: Convert to fraction form
    13,504.68/18,640.44 = 7,840.80/x
  3. Step 3: Cross multiply
    13,504.68x = 18,640.44 × 7,840.80
  4. Step 4: Simplify right side
    13,504.68x = 146,155,961.95
  5. Step 5: Solve for x
    x = 146,155,961.95/13,504.68
  6. Step 6: Final answer
    x = 10,822.62

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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.