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Finding the Fourth Proportional to 2,961.98, 4,088.36 and 2,078.00

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Solution

The fourth proportional to 2,961.98, 4,088.36 and 2,078.00 is: 2,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.98 : 4,088.36 = 2,078.00 : x
  2. Step 2: Convert to fraction form
    2,961.98/4,088.36 = 2,078.00/x
  3. Step 3: Cross multiply
    2,961.98x = 4,088.36 × 2,078.00
  4. Step 4: Simplify right side
    2,961.98x = 8,495,596.83
  5. Step 5: Solve for x
    x = 8,495,596.83/2,961.98
  6. Step 6: Final answer
    x = 2,868.22

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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.