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Finding the Fourth Proportional to 30,613.98, 45,915 and 8,421.66

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Solution

The fourth proportional to 30,613.98, 45,915 and 8,421.66 is: 12,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.98 : 45,915 = 8,421.66 : x
  2. Step 2: Convert to fraction form
    30,613.98/45,915 = 8,421.66/x
  3. Step 3: Cross multiply
    30,613.98x = 45,915 × 8,421.66
  4. Step 4: Simplify right side
    30,613.98x = 386,680,518.90
  5. Step 5: Solve for x
    x = 386,680,518.90/30,613.98
  6. Step 6: Final answer
    x = 12,630.85

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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.