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Finding the Fourth Proportional to 36,580, 50,480.40 and 19,813

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Solution

The fourth proportional to 36,580, 50,480.40 and 19,813 is: 27,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 50,480.40 = 19,813 : x
  2. Step 2: Convert to fraction form
    36,580/50,480.40 = 19,813/x
  3. Step 3: Cross multiply
    36,580x = 50,480.40 × 19,813
  4. Step 4: Simplify right side
    36,580x = 1,000,168,165.20
  5. Step 5: Solve for x
    x = 1,000,168,165.20/36,580
  6. Step 6: Final answer
    x = 27,341.94

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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.