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Finding the Fourth Proportional to 5,876.42, 8,814.77 and 1,980.83

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Solution

The fourth proportional to 5,876.42, 8,814.77 and 1,980.83 is: 2,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.42 : 8,814.77 = 1,980.83 : x
  2. Step 2: Convert to fraction form
    5,876.42/8,814.77 = 1,980.83/x
  3. Step 3: Cross multiply
    5,876.42x = 8,814.77 × 1,980.83
  4. Step 4: Simplify right side
    5,876.42x = 17,460,506.88
  5. Step 5: Solve for x
    x = 17,460,506.88/5,876.42
  6. Step 6: Final answer
    x = 2,971.29

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1.5x scale

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.