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Finding the Fourth Proportional to 7,878.76, 11,821.38 and 4,415.92

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Solution

The fourth proportional to 7,878.76, 11,821.38 and 4,415.92 is: 6,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.76 : 11,821.38 = 4,415.92 : x
  2. Step 2: Convert to fraction form
    7,878.76/11,821.38 = 4,415.92/x
  3. Step 3: Cross multiply
    7,878.76x = 11,821.38 × 4,415.92
  4. Step 4: Simplify right side
    7,878.76x = 52,202,268.37
  5. Step 5: Solve for x
    x = 52,202,268.37/7,878.76
  6. Step 6: Final answer
    x = 6,625.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.