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Finding the Fourth Proportional to 13,646.16, 20,475 and 5,750.64

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Solution

The fourth proportional to 13,646.16, 20,475 and 5,750.64 is: 8,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.16 : 20,475 = 5,750.64 : x
  2. Step 2: Convert to fraction form
    13,646.16/20,475 = 5,750.64/x
  3. Step 3: Cross multiply
    13,646.16x = 20,475 × 5,750.64
  4. Step 4: Simplify right side
    13,646.16x = 117,744,354
  5. Step 5: Solve for x
    x = 117,744,354/13,646.16
  6. Step 6: Final answer
    x = 8,628.39

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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.