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Finding the Fourth Proportional to 4,245, 5,858.12 and 2,382

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Solution

The fourth proportional to 4,245, 5,858.12 and 2,382 is: 3,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245 : 5,858.12 = 2,382 : x
  2. Step 2: Convert to fraction form
    4,245/5,858.12 = 2,382/x
  3. Step 3: Cross multiply
    4,245x = 5,858.12 × 2,382
  4. Step 4: Simplify right side
    4,245x = 13,954,041.84
  5. Step 5: Solve for x
    x = 13,954,041.84/4,245
  6. Step 6: Final answer
    x = 3,287.17

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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.