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Finding the Fourth Proportional to 7,728,978.40, 11,589,968.40 and 2,935,074.40

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Solution

The fourth proportional to 7,728,978.40, 11,589,968.40 and 2,935,074.40 is: 4,401,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,978.40 : 11,589,968.40 = 2,935,074.40 : x
  2. Step 2: Convert to fraction form
    7,728,978.40/11,589,968.40 = 2,935,074.40/x
  3. Step 3: Cross multiply
    7,728,978.40x = 11,589,968.40 × 2,935,074.40
  4. Step 4: Simplify right side
    7,728,978.40x = 34,017,419,547,648.96
  5. Step 5: Solve for x
    x = 34,017,419,547,648.96/7,728,978.40
  6. Step 6: Final answer
    x = 4,401,282.78

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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.