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Finding the Fourth Proportional to 1,946.03, 2,918.34 and 971.46

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Solution

The fourth proportional to 1,946.03, 2,918.34 and 971.46 is: 1,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.03 : 2,918.34 = 971.46 : x
  2. Step 2: Convert to fraction form
    1,946.03/2,918.34 = 971.46/x
  3. Step 3: Cross multiply
    1,946.03x = 2,918.34 × 971.46
  4. Step 4: Simplify right side
    1,946.03x = 2,835,050.58
  5. Step 5: Solve for x
    x = 2,835,050.58/1,946.03
  6. Step 6: Final answer
    x = 1,456.84

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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.