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Finding the Fourth Proportional to 14,378, 19,842.45 and 8,090.78

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Solution

The fourth proportional to 14,378, 19,842.45 and 8,090.78 is: 11,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378 : 19,842.45 = 8,090.78 : x
  2. Step 2: Convert to fraction form
    14,378/19,842.45 = 8,090.78/x
  3. Step 3: Cross multiply
    14,378x = 19,842.45 × 8,090.78
  4. Step 4: Simplify right side
    14,378x = 160,540,897.61
  5. Step 5: Solve for x
    x = 160,540,897.61/14,378
  6. Step 6: Final answer
    x = 11,165.73

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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.