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Finding the Fourth Proportional to 12,005.20, 18,013.20 and 5,762.80

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Solution

The fourth proportional to 12,005.20, 18,013.20 and 5,762.80 is: 8,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.20 : 18,013.20 = 5,762.80 : x
  2. Step 2: Convert to fraction form
    12,005.20/18,013.20 = 5,762.80/x
  3. Step 3: Cross multiply
    12,005.20x = 18,013.20 × 5,762.80
  4. Step 4: Simplify right side
    12,005.20x = 103,806,468.96
  5. Step 5: Solve for x
    x = 103,806,468.96/12,005.20
  6. Step 6: Final answer
    x = 8,646.79

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1.5x scale

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.