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Finding the Fourth Proportional to 9,201.36, 12,698.76 and 5,666.64

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Solution

The fourth proportional to 9,201.36, 12,698.76 and 5,666.64 is: 7,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.36 : 12,698.76 = 5,666.64 : x
  2. Step 2: Convert to fraction form
    9,201.36/12,698.76 = 5,666.64/x
  3. Step 3: Cross multiply
    9,201.36x = 12,698.76 × 5,666.64
  4. Step 4: Simplify right side
    9,201.36x = 71,959,301.37
  5. Step 5: Solve for x
    x = 71,959,301.37/9,201.36
  6. Step 6: Final answer
    x = 7,820.51

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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.