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Finding the Fourth Proportional to 13,646.64, 20,451.60 and 7,059

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Solution

The fourth proportional to 13,646.64, 20,451.60 and 7,059 is: 10,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.64 : 20,451.60 = 7,059 : x
  2. Step 2: Convert to fraction form
    13,646.64/20,451.60 = 7,059/x
  3. Step 3: Cross multiply
    13,646.64x = 20,451.60 × 7,059
  4. Step 4: Simplify right side
    13,646.64x = 144,367,844.40
  5. Step 5: Solve for x
    x = 144,367,844.40/13,646.64
  6. Step 6: Final answer
    x = 10,579.00

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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.