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Finding the Fourth Proportional to 7,019,873.82, 9,678,057.93 and 5,574,354.30

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Solution

The fourth proportional to 7,019,873.82, 9,678,057.93 and 5,574,354.30 is: 7,685,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019,873.82 : 9,678,057.93 = 5,574,354.30 : x
  2. Step 2: Convert to fraction form
    7,019,873.82/9,678,057.93 = 5,574,354.30/x
  3. Step 3: Cross multiply
    7,019,873.82x = 9,678,057.93 × 5,574,354.30
  4. Step 4: Simplify right side
    7,019,873.82x = 53,948,923,837,744.59
  5. Step 5: Solve for x
    x = 53,948,923,837,744.59/7,019,873.82
  6. Step 6: Final answer
    x = 7,685,170.02

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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.