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Finding the Fourth Proportional to 9,955.70, 13,738.65 and 5,707.52

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Solution

The fourth proportional to 9,955.70, 13,738.65 and 5,707.52 is: 7,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.70 : 13,738.65 = 5,707.52 : x
  2. Step 2: Convert to fraction form
    9,955.70/13,738.65 = 5,707.52/x
  3. Step 3: Cross multiply
    9,955.70x = 13,738.65 × 5,707.52
  4. Step 4: Simplify right side
    9,955.70x = 78,413,619.65
  5. Step 5: Solve for x
    x = 78,413,619.65/9,955.70
  6. Step 6: Final answer
    x = 7,876.25

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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.