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Finding the Fourth Proportional to 9,765.63, 13,475.71 and 5,786.07

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Solution

The fourth proportional to 9,765.63, 13,475.71 and 5,786.07 is: 7,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.63 : 13,475.71 = 5,786.07 : x
  2. Step 2: Convert to fraction form
    9,765.63/13,475.71 = 5,786.07/x
  3. Step 3: Cross multiply
    9,765.63x = 13,475.71 × 5,786.07
  4. Step 4: Simplify right side
    9,765.63x = 77,971,401.36
  5. Step 5: Solve for x
    x = 77,971,401.36/9,765.63
  6. Step 6: Final answer
    x = 7,984.27

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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.