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Finding the Fourth Proportional to 5,876.70, 8,814.99 and 1,981.08

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Solution

The fourth proportional to 5,876.70, 8,814.99 and 1,981.08 is: 2,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.70 : 8,814.99 = 1,981.08 : x
  2. Step 2: Convert to fraction form
    5,876.70/8,814.99 = 1,981.08/x
  3. Step 3: Cross multiply
    5,876.70x = 8,814.99 × 1,981.08
  4. Step 4: Simplify right side
    5,876.70x = 17,463,200.39
  5. Step 5: Solve for x
    x = 17,463,200.39/5,876.70
  6. Step 6: Final answer
    x = 2,971.60

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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.