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Finding the Fourth Proportional to 2,955.84, 4,079.16 and 1,836.90

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Solution

The fourth proportional to 2,955.84, 4,079.16 and 1,836.90 is: 2,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.84 : 4,079.16 = 1,836.90 : x
  2. Step 2: Convert to fraction form
    2,955.84/4,079.16 = 1,836.90/x
  3. Step 3: Cross multiply
    2,955.84x = 4,079.16 × 1,836.90
  4. Step 4: Simplify right side
    2,955.84x = 7,493,009.00
  5. Step 5: Solve for x
    x = 7,493,009.00/2,955.84
  6. Step 6: Final answer
    x = 2,534.98

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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.