Home / 7,778.02-11,664.50-2,582.50

Finding the Fourth Proportional to 7,778.02, 11,664.50 and 2,582.50

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Solution

The fourth proportional to 7,778.02, 11,664.50 and 2,582.50 is: 3,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.02 : 11,664.50 = 2,582.50 : x
  2. Step 2: Convert to fraction form
    7,778.02/11,664.50 = 2,582.50/x
  3. Step 3: Cross multiply
    7,778.02x = 11,664.50 × 2,582.50
  4. Step 4: Simplify right side
    7,778.02x = 30,123,571.25
  5. Step 5: Solve for x
    x = 30,123,571.25/7,778.02
  6. Step 6: Final answer
    x = 3,872.91

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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.