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Finding the Fourth Proportional to 13,458.12, 20,186.99 and 4,693

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Solution

The fourth proportional to 13,458.12, 20,186.99 and 4,693 is: 7,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.12 : 20,186.99 = 4,693 : x
  2. Step 2: Convert to fraction form
    13,458.12/20,186.99 = 4,693/x
  3. Step 3: Cross multiply
    13,458.12x = 20,186.99 × 4,693
  4. Step 4: Simplify right side
    13,458.12x = 94,737,555.80
  5. Step 5: Solve for x
    x = 94,737,555.80/13,458.12
  6. Step 6: Final answer
    x = 7,039.44

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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.