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Finding the Fourth Proportional to 13,655.76, 20,483.64 and 4,891.20

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Solution

The fourth proportional to 13,655.76, 20,483.64 and 4,891.20 is: 7,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.76 : 20,483.64 = 4,891.20 : x
  2. Step 2: Convert to fraction form
    13,655.76/20,483.64 = 4,891.20/x
  3. Step 3: Cross multiply
    13,655.76x = 20,483.64 × 4,891.20
  4. Step 4: Simplify right side
    13,655.76x = 100,189,579.97
  5. Step 5: Solve for x
    x = 100,189,579.97/13,655.76
  6. Step 6: Final answer
    x = 7,336.80

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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.