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Finding the Fourth Proportional to 30,443.57, 45,659.88 and 13,800.50

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Solution

The fourth proportional to 30,443.57, 45,659.88 and 13,800.50 is: 20,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.57 : 45,659.88 = 13,800.50 : x
  2. Step 2: Convert to fraction form
    30,443.57/45,659.88 = 13,800.50/x
  3. Step 3: Cross multiply
    30,443.57x = 45,659.88 × 13,800.50
  4. Step 4: Simplify right side
    30,443.57x = 630,129,173.94
  5. Step 5: Solve for x
    x = 630,129,173.94/30,443.57
  6. Step 6: Final answer
    x = 20,698.27

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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.