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Finding the Fourth Proportional to 30,605.94, 45,909.11 and 8,421.66

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Solution

The fourth proportional to 30,605.94, 45,909.11 and 8,421.66 is: 12,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.94 : 45,909.11 = 8,421.66 : x
  2. Step 2: Convert to fraction form
    30,605.94/45,909.11 = 8,421.66/x
  3. Step 3: Cross multiply
    30,605.94x = 45,909.11 × 8,421.66
  4. Step 4: Simplify right side
    30,605.94x = 386,630,915.32
  5. Step 5: Solve for x
    x = 386,630,915.32/30,605.94
  6. Step 6: Final answer
    x = 12,632.55

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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.