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Finding the Fourth Proportional to 5,830.80, 8,742.99 and 3,984

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Solution

The fourth proportional to 5,830.80, 8,742.99 and 3,984 is: 5,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.80 : 8,742.99 = 3,984 : x
  2. Step 2: Convert to fraction form
    5,830.80/8,742.99 = 3,984/x
  3. Step 3: Cross multiply
    5,830.80x = 8,742.99 × 3,984
  4. Step 4: Simplify right side
    5,830.80x = 34,832,072.16
  5. Step 5: Solve for x
    x = 34,832,072.16/5,830.80
  6. Step 6: Final answer
    x = 5,973.81

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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.