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Finding the Fourth Proportional to 30,423.96, 45,636.66 and 9,647.64

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Solution

The fourth proportional to 30,423.96, 45,636.66 and 9,647.64 is: 14,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.96 : 45,636.66 = 9,647.64 : x
  2. Step 2: Convert to fraction form
    30,423.96/45,636.66 = 9,647.64/x
  3. Step 3: Cross multiply
    30,423.96x = 45,636.66 × 9,647.64
  4. Step 4: Simplify right side
    30,423.96x = 440,286,066.48
  5. Step 5: Solve for x
    x = 440,286,066.48/30,423.96
  6. Step 6: Final answer
    x = 14,471.69

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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.