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Finding the Fourth Proportional to 3,501, 4,833 and 2,571.12

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Solution

The fourth proportional to 3,501, 4,833 and 2,571.12 is: 3,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501 : 4,833 = 2,571.12 : x
  2. Step 2: Convert to fraction form
    3,501/4,833 = 2,571.12/x
  3. Step 3: Cross multiply
    3,501x = 4,833 × 2,571.12
  4. Step 4: Simplify right side
    3,501x = 12,426,222.96
  5. Step 5: Solve for x
    x = 12,426,222.96/3,501
  6. Step 6: Final answer
    x = 3,549.34

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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.