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Finding the Fourth Proportional to 30,628.80, 45,856.80 and 29,764.80

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Solution

The fourth proportional to 30,628.80, 45,856.80 and 29,764.80 is: 44,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.80 : 45,856.80 = 29,764.80 : x
  2. Step 2: Convert to fraction form
    30,628.80/45,856.80 = 29,764.80/x
  3. Step 3: Cross multiply
    30,628.80x = 45,856.80 × 29,764.80
  4. Step 4: Simplify right side
    30,628.80x = 1,364,918,480.64
  5. Step 5: Solve for x
    x = 1,364,918,480.64/30,628.80
  6. Step 6: Final answer
    x = 44,563.24

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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.