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Finding the Fourth Proportional to 9,789.46, 13,509.51 and 5,313.22

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Solution

The fourth proportional to 9,789.46, 13,509.51 and 5,313.22 is: 7,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.46 : 13,509.51 = 5,313.22 : x
  2. Step 2: Convert to fraction form
    9,789.46/13,509.51 = 5,313.22/x
  3. Step 3: Cross multiply
    9,789.46x = 13,509.51 × 5,313.22
  4. Step 4: Simplify right side
    9,789.46x = 71,778,998.72
  5. Step 5: Solve for x
    x = 71,778,998.72/9,789.46
  6. Step 6: Final answer
    x = 7,332.27

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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.