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Finding the Fourth Proportional to 7,804, 10,778.24 and 6,056.80

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Solution

The fourth proportional to 7,804, 10,778.24 and 6,056.80 is: 8,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 10,778.24 = 6,056.80 : x
  2. Step 2: Convert to fraction form
    7,804/10,778.24 = 6,056.80/x
  3. Step 3: Cross multiply
    7,804x = 10,778.24 × 6,056.80
  4. Step 4: Simplify right side
    7,804x = 65,281,644.03
  5. Step 5: Solve for x
    x = 65,281,644.03/7,804
  6. Step 6: Final answer
    x = 8,365.15

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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.