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Finding the Fourth Proportional to 30,509.85, 45,766.74 and 8,321.31

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Solution

The fourth proportional to 30,509.85, 45,766.74 and 8,321.31 is: 12,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.85 : 45,766.74 = 8,321.31 : x
  2. Step 2: Convert to fraction form
    30,509.85/45,766.74 = 8,321.31/x
  3. Step 3: Cross multiply
    30,509.85x = 45,766.74 × 8,321.31
  4. Step 4: Simplify right side
    30,509.85x = 380,839,231.23
  5. Step 5: Solve for x
    x = 380,839,231.23/30,509.85
  6. Step 6: Final answer
    x = 12,482.50

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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.