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Finding the Fourth Proportional to 5,876.88, 8,814.30 and 1,981.20

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Solution

The fourth proportional to 5,876.88, 8,814.30 and 1,981.20 is: 2,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.88 : 8,814.30 = 1,981.20 : x
  2. Step 2: Convert to fraction form
    5,876.88/8,814.30 = 1,981.20/x
  3. Step 3: Cross multiply
    5,876.88x = 8,814.30 × 1,981.20
  4. Step 4: Simplify right side
    5,876.88x = 17,462,891.16
  5. Step 5: Solve for x
    x = 17,462,891.16/5,876.88
  6. Step 6: Final answer
    x = 2,971.46

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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.