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Finding the Fourth Proportional to 2,971.95, 4,455.42 and 1,873.89

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Solution

The fourth proportional to 2,971.95, 4,455.42 and 1,873.89 is: 2,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.95 : 4,455.42 = 1,873.89 : x
  2. Step 2: Convert to fraction form
    2,971.95/4,455.42 = 1,873.89/x
  3. Step 3: Cross multiply
    2,971.95x = 4,455.42 × 1,873.89
  4. Step 4: Simplify right side
    2,971.95x = 8,348,976.66
  5. Step 5: Solve for x
    x = 8,348,976.66/2,971.95
  6. Step 6: Final answer
    x = 2,809.26

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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.