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Finding the Fourth Proportional to 10,007.54, 13,812.12 and 5,818.22

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Solution

The fourth proportional to 10,007.54, 13,812.12 and 5,818.22 is: 8,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.54 : 13,812.12 = 5,818.22 : x
  2. Step 2: Convert to fraction form
    10,007.54/13,812.12 = 5,818.22/x
  3. Step 3: Cross multiply
    10,007.54x = 13,812.12 × 5,818.22
  4. Step 4: Simplify right side
    10,007.54x = 80,361,952.83
  5. Step 5: Solve for x
    x = 80,361,952.83/10,007.54
  6. Step 6: Final answer
    x = 8,030.14

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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.