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Finding the Fourth Proportional to 6,831.40, 10,256.70 and 4,239.40

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Solution

The fourth proportional to 6,831.40, 10,256.70 and 4,239.40 is: 6,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.40 : 10,256.70 = 4,239.40 : x
  2. Step 2: Convert to fraction form
    6,831.40/10,256.70 = 4,239.40/x
  3. Step 3: Cross multiply
    6,831.40x = 10,256.70 × 4,239.40
  4. Step 4: Simplify right side
    6,831.40x = 43,482,253.98
  5. Step 5: Solve for x
    x = 43,482,253.98/6,831.40
  6. Step 6: Final answer
    x = 6,365.06

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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.