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Finding the Fourth Proportional to 5,786, 7,999.08 and 5,541.20

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Solution

The fourth proportional to 5,786, 7,999.08 and 5,541.20 is: 7,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 7,999.08 = 5,541.20 : x
  2. Step 2: Convert to fraction form
    5,786/7,999.08 = 5,541.20/x
  3. Step 3: Cross multiply
    5,786x = 7,999.08 × 5,541.20
  4. Step 4: Simplify right side
    5,786x = 44,324,502.10
  5. Step 5: Solve for x
    x = 44,324,502.10/5,786
  6. Step 6: Final answer
    x = 7,660.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.