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Finding the Fourth Proportional to 7,892,900, 10,892,202.02 and 4,271,228

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Solution

The fourth proportional to 7,892,900, 10,892,202.02 and 4,271,228 is: 5,894,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892,900 : 10,892,202.02 = 4,271,228 : x
  2. Step 2: Convert to fraction form
    7,892,900/10,892,202.02 = 4,271,228/x
  3. Step 3: Cross multiply
    7,892,900x = 10,892,202.02 × 4,271,228
  4. Step 4: Simplify right side
    7,892,900x = 46,523,078,249,480.55
  5. Step 5: Solve for x
    x = 46,523,078,249,480.55/7,892,900
  6. Step 6: Final answer
    x = 5,894,294.65

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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.