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Finding the Fourth Proportional to 30,607.96, 45,906 and 10,886.80

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Solution

The fourth proportional to 30,607.96, 45,906 and 10,886.80 is: 16,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,607.96 : 45,906 = 10,886.80 : x
  2. Step 2: Convert to fraction form
    30,607.96/45,906 = 10,886.80/x
  3. Step 3: Cross multiply
    30,607.96x = 45,906 × 10,886.80
  4. Step 4: Simplify right side
    30,607.96x = 499,769,440.80
  5. Step 5: Solve for x
    x = 499,769,440.80/30,607.96
  6. Step 6: Final answer
    x = 16,328.09

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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.