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Finding the Fourth Proportional to 41,580, 62,370.54 and 13,878

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Solution

The fourth proportional to 41,580, 62,370.54 and 13,878 is: 20,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 62,370.54 = 13,878 : x
  2. Step 2: Convert to fraction form
    41,580/62,370.54 = 13,878/x
  3. Step 3: Cross multiply
    41,580x = 62,370.54 × 13,878
  4. Step 4: Simplify right side
    41,580x = 865,578,354.12
  5. Step 5: Solve for x
    x = 865,578,354.12/41,580
  6. Step 6: Final answer
    x = 20,817.18

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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.