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Finding the Fourth Proportional to 4,894.80, 7,342.29 and 1,971.09

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Solution

The fourth proportional to 4,894.80, 7,342.29 and 1,971.09 is: 2,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.80 : 7,342.29 = 1,971.09 : x
  2. Step 2: Convert to fraction form
    4,894.80/7,342.29 = 1,971.09/x
  3. Step 3: Cross multiply
    4,894.80x = 7,342.29 × 1,971.09
  4. Step 4: Simplify right side
    4,894.80x = 14,472,314.40
  5. Step 5: Solve for x
    x = 14,472,314.40/4,894.80
  6. Step 6: Final answer
    x = 2,956.67

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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.