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Finding the Fourth Proportional to 9,200.80, 13,802.56 and 4,006.56

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Solution

The fourth proportional to 9,200.80, 13,802.56 and 4,006.56 is: 6,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.80 : 13,802.56 = 4,006.56 : x
  2. Step 2: Convert to fraction form
    9,200.80/13,802.56 = 4,006.56/x
  3. Step 3: Cross multiply
    9,200.80x = 13,802.56 × 4,006.56
  4. Step 4: Simplify right side
    9,200.80x = 55,300,784.79
  5. Step 5: Solve for x
    x = 55,300,784.79/9,200.80
  6. Step 6: Final answer
    x = 6,010.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.