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Finding the Fourth Proportional to 2,955.84, 4,435.49 and 1,640.70

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Solution

The fourth proportional to 2,955.84, 4,435.49 and 1,640.70 is: 2,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.84 : 4,435.49 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    2,955.84/4,435.49 = 1,640.70/x
  3. Step 3: Cross multiply
    2,955.84x = 4,435.49 × 1,640.70
  4. Step 4: Simplify right side
    2,955.84x = 7,277,304.34
  5. Step 5: Solve for x
    x = 7,277,304.34/2,955.84
  6. Step 6: Final answer
    x = 2,462.01

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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.