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Finding the Fourth Proportional to 7,978,782.72, 11,009,237.76 and 4,540,819.20

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Solution

The fourth proportional to 7,978,782.72, 11,009,237.76 and 4,540,819.20 is: 6,265,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,782.72 : 11,009,237.76 = 4,540,819.20 : x
  2. Step 2: Convert to fraction form
    7,978,782.72/11,009,237.76 = 4,540,819.20/x
  3. Step 3: Cross multiply
    7,978,782.72x = 11,009,237.76 × 4,540,819.20
  4. Step 4: Simplify right side
    7,978,782.72x = 49,990,958,197,972.99
  5. Step 5: Solve for x
    x = 49,990,958,197,972.99/7,978,782.72
  6. Step 6: Final answer
    x = 6,265,486.85

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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.