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Finding the Fourth Proportional to 2,157, 3,235.32 and 618

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Solution

The fourth proportional to 2,157, 3,235.32 and 618 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157 : 3,235.32 = 618 : x
  2. Step 2: Convert to fraction form
    2,157/3,235.32 = 618/x
  3. Step 3: Cross multiply
    2,157x = 3,235.32 × 618
  4. Step 4: Simplify right side
    2,157x = 1,999,427.76
  5. Step 5: Solve for x
    x = 1,999,427.76/2,157
  6. Step 6: Final answer
    x = 926.95

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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.