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Finding the Fourth Proportional to 2,762.78, 3,803.88 and 2,342.20

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Solution

The fourth proportional to 2,762.78, 3,803.88 and 2,342.20 is: 3,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.78 : 3,803.88 = 2,342.20 : x
  2. Step 2: Convert to fraction form
    2,762.78/3,803.88 = 2,342.20/x
  3. Step 3: Cross multiply
    2,762.78x = 3,803.88 × 2,342.20
  4. Step 4: Simplify right side
    2,762.78x = 8,909,447.74
  5. Step 5: Solve for x
    x = 8,909,447.74/2,762.78
  6. Step 6: Final answer
    x = 3,224.81

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1.5x scale

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.