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Finding the Fourth Proportional to 1,971.12, 2,958 and 816.87

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Solution

The fourth proportional to 1,971.12, 2,958 and 816.87 is: 1,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.12 : 2,958 = 816.87 : x
  2. Step 2: Convert to fraction form
    1,971.12/2,958 = 816.87/x
  3. Step 3: Cross multiply
    1,971.12x = 2,958 × 816.87
  4. Step 4: Simplify right side
    1,971.12x = 2,416,301.46
  5. Step 5: Solve for x
    x = 2,416,301.46/1,971.12
  6. Step 6: Final answer
    x = 1,225.85

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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.