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Finding the Fourth Proportional to 7,833.32, 10,811.72 and 6,128.46

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Solution

The fourth proportional to 7,833.32, 10,811.72 and 6,128.46 is: 8,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.32 : 10,811.72 = 6,128.46 : x
  2. Step 2: Convert to fraction form
    7,833.32/10,811.72 = 6,128.46/x
  3. Step 3: Cross multiply
    7,833.32x = 10,811.72 × 6,128.46
  4. Step 4: Simplify right side
    7,833.32x = 66,259,193.55
  5. Step 5: Solve for x
    x = 66,259,193.55/7,833.32
  6. Step 6: Final answer
    x = 8,458.63

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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.