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Finding the Fourth Proportional to 30,487.96, 45,736.22 and 9,429.72

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Solution

The fourth proportional to 30,487.96, 45,736.22 and 9,429.72 is: 14,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487.96 : 45,736.22 = 9,429.72 : x
  2. Step 2: Convert to fraction form
    30,487.96/45,736.22 = 9,429.72/x
  3. Step 3: Cross multiply
    30,487.96x = 45,736.22 × 9,429.72
  4. Step 4: Simplify right side
    30,487.96x = 431,279,748.46
  5. Step 5: Solve for x
    x = 431,279,748.46/30,487.96
  6. Step 6: Final answer
    x = 14,145.90

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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.