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Finding the Fourth Proportional to 5,842.80, 8,764.20 and 5,305.20

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Solution

The fourth proportional to 5,842.80, 8,764.20 and 5,305.20 is: 7,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.80 : 8,764.20 = 5,305.20 : x
  2. Step 2: Convert to fraction form
    5,842.80/8,764.20 = 5,305.20/x
  3. Step 3: Cross multiply
    5,842.80x = 8,764.20 × 5,305.20
  4. Step 4: Simplify right side
    5,842.80x = 46,495,833.84
  5. Step 5: Solve for x
    x = 46,495,833.84/5,842.80
  6. Step 6: Final answer
    x = 7,957.80

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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.