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Finding the Fourth Proportional to 7,849.58, 10,831.92 and 7,222.64

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Solution

The fourth proportional to 7,849.58, 10,831.92 and 7,222.64 is: 9,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.58 : 10,831.92 = 7,222.64 : x
  2. Step 2: Convert to fraction form
    7,849.58/10,831.92 = 7,222.64/x
  3. Step 3: Cross multiply
    7,849.58x = 10,831.92 × 7,222.64
  4. Step 4: Simplify right side
    7,849.58x = 78,235,004.51
  5. Step 5: Solve for x
    x = 78,235,004.51/7,849.58
  6. Step 6: Final answer
    x = 9,966.78

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1.5x scale

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.