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Finding the Fourth Proportional to 2,959.88, 4,071.60 and 2,840.00

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Solution

The fourth proportional to 2,959.88, 4,071.60 and 2,840.00 is: 3,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.88 : 4,071.60 = 2,840.00 : x
  2. Step 2: Convert to fraction form
    2,959.88/4,071.60 = 2,840.00/x
  3. Step 3: Cross multiply
    2,959.88x = 4,071.60 × 2,840.00
  4. Step 4: Simplify right side
    2,959.88x = 11,563,323.64
  5. Step 5: Solve for x
    x = 11,563,323.64/2,959.88
  6. Step 6: Final answer
    x = 3,906.69

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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.