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Finding the Fourth Proportional to 5,980.86, 8,971.70 and 2,084.76

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Solution

The fourth proportional to 5,980.86, 8,971.70 and 2,084.76 is: 3,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.86 : 8,971.70 = 2,084.76 : x
  2. Step 2: Convert to fraction form
    5,980.86/8,971.70 = 2,084.76/x
  3. Step 3: Cross multiply
    5,980.86x = 8,971.70 × 2,084.76
  4. Step 4: Simplify right side
    5,980.86x = 18,703,830.87
  5. Step 5: Solve for x
    x = 18,703,830.87/5,980.86
  6. Step 6: Final answer
    x = 3,127.28

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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.