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Finding the Fourth Proportional to 8,085.79, 12,057.27 and 7,102.63

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Solution

The fourth proportional to 8,085.79, 12,057.27 and 7,102.63 is: 10,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.79 : 12,057.27 = 7,102.63 : x
  2. Step 2: Convert to fraction form
    8,085.79/12,057.27 = 7,102.63/x
  3. Step 3: Cross multiply
    8,085.79x = 12,057.27 × 7,102.63
  4. Step 4: Simplify right side
    8,085.79x = 85,638,297.48
  5. Step 5: Solve for x
    x = 85,638,297.48/8,085.79
  6. Step 6: Final answer
    x = 10,591.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.