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Finding the Fourth Proportional to 30,525.72, 45,773.94 and 12,986.04

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Solution

The fourth proportional to 30,525.72, 45,773.94 and 12,986.04 is: 19,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.72 : 45,773.94 = 12,986.04 : x
  2. Step 2: Convert to fraction form
    30,525.72/45,773.94 = 12,986.04/x
  3. Step 3: Cross multiply
    30,525.72x = 45,773.94 × 12,986.04
  4. Step 4: Simplify right side
    30,525.72x = 594,422,215.80
  5. Step 5: Solve for x
    x = 594,422,215.80/30,525.72
  6. Step 6: Final answer
    x = 19,472.83

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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.