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Finding the Fourth Proportional to 30,276, 45,416.56 and 8,388

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Solution

The fourth proportional to 30,276, 45,416.56 and 8,388 is: 12,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276 : 45,416.56 = 8,388 : x
  2. Step 2: Convert to fraction form
    30,276/45,416.56 = 8,388/x
  3. Step 3: Cross multiply
    30,276x = 45,416.56 × 8,388
  4. Step 4: Simplify right side
    30,276x = 380,954,105.28
  5. Step 5: Solve for x
    x = 380,954,105.28/30,276
  6. Step 6: Final answer
    x = 12,582.71

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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.