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Finding the Fourth Proportional to 10,007.72, 13,810.94 and 5,470.62

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Solution

The fourth proportional to 10,007.72, 13,810.94 and 5,470.62 is: 7,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.72 : 13,810.94 = 5,470.62 : x
  2. Step 2: Convert to fraction form
    10,007.72/13,810.94 = 5,470.62/x
  3. Step 3: Cross multiply
    10,007.72x = 13,810.94 × 5,470.62
  4. Step 4: Simplify right side
    10,007.72x = 75,554,404.58
  5. Step 5: Solve for x
    x = 75,554,404.58/10,007.72
  6. Step 6: Final answer
    x = 7,549.61

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