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Finding the Fourth Proportional to 9,758, 13,471.85 and 6,406.68

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Solution

The fourth proportional to 9,758, 13,471.85 and 6,406.68 is: 8,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758 : 13,471.85 = 6,406.68 : x
  2. Step 2: Convert to fraction form
    9,758/13,471.85 = 6,406.68/x
  3. Step 3: Cross multiply
    9,758x = 13,471.85 × 6,406.68
  4. Step 4: Simplify right side
    9,758x = 86,309,831.96
  5. Step 5: Solve for x
    x = 86,309,831.96/9,758
  6. Step 6: Final answer
    x = 8,845.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.