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Finding the Fourth Proportional to 1,957.98, 2,702.40 and 1,172.54

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Solution

The fourth proportional to 1,957.98, 2,702.40 and 1,172.54 is: 1,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.98 : 2,702.40 = 1,172.54 : x
  2. Step 2: Convert to fraction form
    1,957.98/2,702.40 = 1,172.54/x
  3. Step 3: Cross multiply
    1,957.98x = 2,702.40 × 1,172.54
  4. Step 4: Simplify right side
    1,957.98x = 3,168,672.10
  5. Step 5: Solve for x
    x = 3,168,672.10/1,957.98
  6. Step 6: Final answer
    x = 1,618.34

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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.