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Finding the Fourth Proportional to 9,831.68, 14,728.08 and 7,628.48

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Solution

The fourth proportional to 9,831.68, 14,728.08 and 7,628.48 is: 11,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.68 : 14,728.08 = 7,628.48 : x
  2. Step 2: Convert to fraction form
    9,831.68/14,728.08 = 7,628.48/x
  3. Step 3: Cross multiply
    9,831.68x = 14,728.08 × 7,628.48
  4. Step 4: Simplify right side
    9,831.68x = 112,352,863.72
  5. Step 5: Solve for x
    x = 112,352,863.72/9,831.68
  6. Step 6: Final answer
    x = 11,427.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.