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Finding the Fourth Proportional to 5,981.66, 8,971.43 and 1,820.66

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Solution

The fourth proportional to 5,981.66, 8,971.43 and 1,820.66 is: 2,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.66 : 8,971.43 = 1,820.66 : x
  2. Step 2: Convert to fraction form
    5,981.66/8,971.43 = 1,820.66/x
  3. Step 3: Cross multiply
    5,981.66x = 8,971.43 × 1,820.66
  4. Step 4: Simplify right side
    5,981.66x = 16,333,923.74
  5. Step 5: Solve for x
    x = 16,333,923.74/5,981.66
  6. Step 6: Final answer
    x = 2,730.67

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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.