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Finding the Fourth Proportional to 34,694, 47,877.63 and 18,778.45

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Solution

The fourth proportional to 34,694, 47,877.63 and 18,778.45 is: 25,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694 : 47,877.63 = 18,778.45 : x
  2. Step 2: Convert to fraction form
    34,694/47,877.63 = 18,778.45/x
  3. Step 3: Cross multiply
    34,694x = 47,877.63 × 18,778.45
  4. Step 4: Simplify right side
    34,694x = 899,067,681.07
  5. Step 5: Solve for x
    x = 899,067,681.07/34,694
  6. Step 6: Final answer
    x = 25,914.21

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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.