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Finding the Fourth Proportional to 7,906.10, 11,831.74 and 4,784.22

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Solution

The fourth proportional to 7,906.10, 11,831.74 and 4,784.22 is: 7,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.10 : 11,831.74 = 4,784.22 : x
  2. Step 2: Convert to fraction form
    7,906.10/11,831.74 = 4,784.22/x
  3. Step 3: Cross multiply
    7,906.10x = 11,831.74 × 4,784.22
  4. Step 4: Simplify right side
    7,906.10x = 56,605,635.18
  5. Step 5: Solve for x
    x = 56,605,635.18/7,906.10
  6. Step 6: Final answer
    x = 7,159.75

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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.