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Finding the Fourth Proportional to 40,824, 61,239.87 and 15,865.97

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Solution

The fourth proportional to 40,824, 61,239.87 and 15,865.97 is: 23,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 61,239.87 = 15,865.97 : x
  2. Step 2: Convert to fraction form
    40,824/61,239.87 = 15,865.97/x
  3. Step 3: Cross multiply
    40,824x = 61,239.87 × 15,865.97
  4. Step 4: Simplify right side
    40,824x = 971,630,093.32
  5. Step 5: Solve for x
    x = 971,630,093.32/40,824
  6. Step 6: Final answer
    x = 23,800.46

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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.