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Finding the Fourth Proportional to 8,021.70, 11,070 and 4,485.24

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Solution

The fourth proportional to 8,021.70, 11,070 and 4,485.24 is: 6,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.70 : 11,070 = 4,485.24 : x
  2. Step 2: Convert to fraction form
    8,021.70/11,070 = 4,485.24/x
  3. Step 3: Cross multiply
    8,021.70x = 11,070 × 4,485.24
  4. Step 4: Simplify right side
    8,021.70x = 49,651,606.80
  5. Step 5: Solve for x
    x = 49,651,606.80/8,021.70
  6. Step 6: Final answer
    x = 6,189.66

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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.