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Finding the Fourth Proportional to 30,336, 45,504.11 and 9,275.96

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Solution

The fourth proportional to 30,336, 45,504.11 and 9,275.96 is: 13,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336 : 45,504.11 = 9,275.96 : x
  2. Step 2: Convert to fraction form
    30,336/45,504.11 = 9,275.96/x
  3. Step 3: Cross multiply
    30,336x = 45,504.11 × 9,275.96
  4. Step 4: Simplify right side
    30,336x = 422,094,099.86
  5. Step 5: Solve for x
    x = 422,094,099.86/30,336
  6. Step 6: Final answer
    x = 13,913.97

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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.