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Finding the Fourth Proportional to 2,740.98, 4,110.88 and 867.02

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Solution

The fourth proportional to 2,740.98, 4,110.88 and 867.02 is: 1,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.98 : 4,110.88 = 867.02 : x
  2. Step 2: Convert to fraction form
    2,740.98/4,110.88 = 867.02/x
  3. Step 3: Cross multiply
    2,740.98x = 4,110.88 × 867.02
  4. Step 4: Simplify right side
    2,740.98x = 3,564,215.08
  5. Step 5: Solve for x
    x = 3,564,215.08/2,740.98
  6. Step 6: Final answer
    x = 1,300.34

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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.