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Finding the Fourth Proportional to 11,214, 16,809.60 and 4,643.76

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Solution

The fourth proportional to 11,214, 16,809.60 and 4,643.76 is: 6,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214 : 16,809.60 = 4,643.76 : x
  2. Step 2: Convert to fraction form
    11,214/16,809.60 = 4,643.76/x
  3. Step 3: Cross multiply
    11,214x = 16,809.60 × 4,643.76
  4. Step 4: Simplify right side
    11,214x = 78,059,748.10
  5. Step 5: Solve for x
    x = 78,059,748.10/11,214
  6. Step 6: Final answer
    x = 6,960.92

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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.