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Finding the Fourth Proportional to 3,985,709.80, 5,978,564.70 and 993,893.80

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Solution

The fourth proportional to 3,985,709.80, 5,978,564.70 and 993,893.80 is: 1,490,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,709.80 : 5,978,564.70 = 993,893.80 : x
  2. Step 2: Convert to fraction form
    3,985,709.80/5,978,564.70 = 993,893.80/x
  3. Step 3: Cross multiply
    3,985,709.80x = 5,978,564.70 × 993,893.80
  4. Step 4: Simplify right side
    3,985,709.80x = 5,942,058,388,228.86
  5. Step 5: Solve for x
    x = 5,942,058,388,228.86/3,985,709.80
  6. Step 6: Final answer
    x = 1,490,840.70

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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.