Home / 13,825.83-20,727-6,434.58

Finding the Fourth Proportional to 13,825.83, 20,727 and 6,434.58

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Solution

The fourth proportional to 13,825.83, 20,727 and 6,434.58 is: 9,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.83 : 20,727 = 6,434.58 : x
  2. Step 2: Convert to fraction form
    13,825.83/20,727 = 6,434.58/x
  3. Step 3: Cross multiply
    13,825.83x = 20,727 × 6,434.58
  4. Step 4: Simplify right side
    13,825.83x = 133,369,539.66
  5. Step 5: Solve for x
    x = 133,369,539.66/13,825.83
  6. Step 6: Final answer
    x = 9,646.40

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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.