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Finding the Fourth Proportional to 7,892,900.84, 11,766,391.91 and 7,768,521.15

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Solution

The fourth proportional to 7,892,900.84, 11,766,391.91 and 7,768,521.15 is: 11,580,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892,900.84 : 11,766,391.91 = 7,768,521.15 : x
  2. Step 2: Convert to fraction form
    7,892,900.84/11,766,391.91 = 7,768,521.15/x
  3. Step 3: Cross multiply
    7,892,900.84x = 11,766,391.91 × 7,768,521.15
  4. Step 4: Simplify right side
    7,892,900.84x = 91,407,464,373,181.30
  5. Step 5: Solve for x
    x = 91,407,464,373,181.30/7,892,900.84
  6. Step 6: Final answer
    x = 11,580,972.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.