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Finding the Fourth Proportional to 8,131.68, 11,283.12 and 7,802.64

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Solution

The fourth proportional to 8,131.68, 11,283.12 and 7,802.64 is: 10,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.68 : 11,283.12 = 7,802.64 : x
  2. Step 2: Convert to fraction form
    8,131.68/11,283.12 = 7,802.64/x
  3. Step 3: Cross multiply
    8,131.68x = 11,283.12 × 7,802.64
  4. Step 4: Simplify right side
    8,131.68x = 88,038,123.44
  5. Step 5: Solve for x
    x = 88,038,123.44/8,131.68
  6. Step 6: Final answer
    x = 10,826.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.