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Finding the Fourth Proportional to 7,774, 10,728.42 and 4,416.94

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Solution

The fourth proportional to 7,774, 10,728.42 and 4,416.94 is: 6,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774 : 10,728.42 = 4,416.94 : x
  2. Step 2: Convert to fraction form
    7,774/10,728.42 = 4,416.94/x
  3. Step 3: Cross multiply
    7,774x = 10,728.42 × 4,416.94
  4. Step 4: Simplify right side
    7,774x = 47,386,787.43
  5. Step 5: Solve for x
    x = 47,386,787.43/7,774
  6. Step 6: Final answer
    x = 6,095.55

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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.