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Finding the Fourth Proportional to 2,940.80, 4,051.20 and 2,055.20

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Solution

The fourth proportional to 2,940.80, 4,051.20 and 2,055.20 is: 2,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.80 : 4,051.20 = 2,055.20 : x
  2. Step 2: Convert to fraction form
    2,940.80/4,051.20 = 2,055.20/x
  3. Step 3: Cross multiply
    2,940.80x = 4,051.20 × 2,055.20
  4. Step 4: Simplify right side
    2,940.80x = 8,326,026.24
  5. Step 5: Solve for x
    x = 8,326,026.24/2,940.80
  6. Step 6: Final answer
    x = 2,831.21

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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.