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Finding the Fourth Proportional to 8,064.48, 12,090 and 7,021.92

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Solution

The fourth proportional to 8,064.48, 12,090 and 7,021.92 is: 10,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.48 : 12,090 = 7,021.92 : x
  2. Step 2: Convert to fraction form
    8,064.48/12,090 = 7,021.92/x
  3. Step 3: Cross multiply
    8,064.48x = 12,090 × 7,021.92
  4. Step 4: Simplify right side
    8,064.48x = 84,895,012.80
  5. Step 5: Solve for x
    x = 84,895,012.80/8,064.48
  6. Step 6: Final answer
    x = 10,527.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.