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Finding the Fourth Proportional to 30,672.13, 46,008.11 and 9,613.78

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Solution

The fourth proportional to 30,672.13, 46,008.11 and 9,613.78 is: 14,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.13 : 46,008.11 = 9,613.78 : x
  2. Step 2: Convert to fraction form
    30,672.13/46,008.11 = 9,613.78/x
  3. Step 3: Cross multiply
    30,672.13x = 46,008.11 × 9,613.78
  4. Step 4: Simplify right side
    30,672.13x = 442,311,847.76
  5. Step 5: Solve for x
    x = 442,311,847.76/30,672.13
  6. Step 6: Final answer
    x = 14,420.64

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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.