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Finding the Fourth Proportional to 7,230,346.53, 9,978,061.85 and 3,967,160.40

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Solution

The fourth proportional to 7,230,346.53, 9,978,061.85 and 3,967,160.40 is: 5,474,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230,346.53 : 9,978,061.85 = 3,967,160.40 : x
  2. Step 2: Convert to fraction form
    7,230,346.53/9,978,061.85 = 3,967,160.40/x
  3. Step 3: Cross multiply
    7,230,346.53x = 9,978,061.85 × 3,967,160.40
  4. Step 4: Simplify right side
    7,230,346.53x = 39,584,571,840,070.73
  5. Step 5: Solve for x
    x = 39,584,571,840,070.73/7,230,346.53
  6. Step 6: Final answer
    x = 5,474,782.11

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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.