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Finding the Fourth Proportional to 8,070.30, 11,144.40 and 6,077.40

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Solution

The fourth proportional to 8,070.30, 11,144.40 and 6,077.40 is: 8,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.30 : 11,144.40 = 6,077.40 : x
  2. Step 2: Convert to fraction form
    8,070.30/11,144.40 = 6,077.40/x
  3. Step 3: Cross multiply
    8,070.30x = 11,144.40 × 6,077.40
  4. Step 4: Simplify right side
    8,070.30x = 67,728,976.56
  5. Step 5: Solve for x
    x = 67,728,976.56/8,070.30
  6. Step 6: Final answer
    x = 8,392.37

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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.