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Finding the Fourth Proportional to 2,960, 4,441.71 and 1,643.93

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Solution

The fourth proportional to 2,960, 4,441.71 and 1,643.93 is: 2,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960 : 4,441.71 = 1,643.93 : x
  2. Step 2: Convert to fraction form
    2,960/4,441.71 = 1,643.93/x
  3. Step 3: Cross multiply
    2,960x = 4,441.71 × 1,643.93
  4. Step 4: Simplify right side
    2,960x = 7,301,860.32
  5. Step 5: Solve for x
    x = 7,301,860.32/2,960
  6. Step 6: Final answer
    x = 2,466.84

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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.