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Finding the Fourth Proportional to 10,007.74, 13,811.21 and 5,759.45

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Solution

The fourth proportional to 10,007.74, 13,811.21 and 5,759.45 is: 7,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.74 : 13,811.21 = 5,759.45 : x
  2. Step 2: Convert to fraction form
    10,007.74/13,811.21 = 5,759.45/x
  3. Step 3: Cross multiply
    10,007.74x = 13,811.21 × 5,759.45
  4. Step 4: Simplify right side
    10,007.74x = 79,544,973.43
  5. Step 5: Solve for x
    x = 79,544,973.43/10,007.74
  6. Step 6: Final answer
    x = 7,948.35

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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.