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Finding the Fourth Proportional to 7,761.81, 11,641.53 and 2,831.45

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Solution

The fourth proportional to 7,761.81, 11,641.53 and 2,831.45 is: 4,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.81 : 11,641.53 = 2,831.45 : x
  2. Step 2: Convert to fraction form
    7,761.81/11,641.53 = 2,831.45/x
  3. Step 3: Cross multiply
    7,761.81x = 11,641.53 × 2,831.45
  4. Step 4: Simplify right side
    7,761.81x = 32,962,439.22
  5. Step 5: Solve for x
    x = 32,962,439.22/7,761.81
  6. Step 6: Final answer
    x = 4,246.75

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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.