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Finding the Fourth Proportional to 2,837, 4,257.12 and 1,298

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Solution

The fourth proportional to 2,837, 4,257.12 and 1,298 is: 1,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837 : 4,257.12 = 1,298 : x
  2. Step 2: Convert to fraction form
    2,837/4,257.12 = 1,298/x
  3. Step 3: Cross multiply
    2,837x = 4,257.12 × 1,298
  4. Step 4: Simplify right side
    2,837x = 5,525,741.76
  5. Step 5: Solve for x
    x = 5,525,741.76/2,837
  6. Step 6: Final answer
    x = 1,947.74

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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.