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Finding the Fourth Proportional to 13,655.60, 20,464.16 and 10,869.88

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Solution

The fourth proportional to 13,655.60, 20,464.16 and 10,869.88 is: 16,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.60 : 20,464.16 = 10,869.88 : x
  2. Step 2: Convert to fraction form
    13,655.60/20,464.16 = 10,869.88/x
  3. Step 3: Cross multiply
    13,655.60x = 20,464.16 × 10,869.88
  4. Step 4: Simplify right side
    13,655.60x = 222,442,963.50
  5. Step 5: Solve for x
    x = 222,442,963.50/13,655.60
  6. Step 6: Final answer
    x = 16,289.50

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1.5x scale

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.