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Finding the Fourth Proportional to 18,894.86, 28,346.61 and 5,749.10

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Solution

The fourth proportional to 18,894.86, 28,346.61 and 5,749.10 is: 8,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.86 : 28,346.61 = 5,749.10 : x
  2. Step 2: Convert to fraction form
    18,894.86/28,346.61 = 5,749.10/x
  3. Step 3: Cross multiply
    18,894.86x = 28,346.61 × 5,749.10
  4. Step 4: Simplify right side
    18,894.86x = 162,967,495.55
  5. Step 5: Solve for x
    x = 162,967,495.55/18,894.86
  6. Step 6: Final answer
    x = 8,624.96

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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.