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Finding the Fourth Proportional to 7,987,967.10, 11,978,998.20 and 2,596,793.40

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Solution

The fourth proportional to 7,987,967.10, 11,978,998.20 and 2,596,793.40 is: 3,894,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,967.10 : 11,978,998.20 = 2,596,793.40 : x
  2. Step 2: Convert to fraction form
    7,987,967.10/11,978,998.20 = 2,596,793.40/x
  3. Step 3: Cross multiply
    7,987,967.10x = 11,978,998.20 × 2,596,793.40
  4. Step 4: Simplify right side
    7,987,967.10x = 31,106,983,464,371.88
  5. Step 5: Solve for x
    x = 31,106,983,464,371.88/7,987,967.10
  6. Step 6: Final answer
    x = 3,894,230.29

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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.