Home / 13,685.34-20,538-10,573.14

Finding the Fourth Proportional to 13,685.34, 20,538 and 10,573.14

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Solution

The fourth proportional to 13,685.34, 20,538 and 10,573.14 is: 15,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.34 : 20,538 = 10,573.14 : x
  2. Step 2: Convert to fraction form
    13,685.34/20,538 = 10,573.14/x
  3. Step 3: Cross multiply
    13,685.34x = 20,538 × 10,573.14
  4. Step 4: Simplify right side
    13,685.34x = 217,151,149.32
  5. Step 5: Solve for x
    x = 217,151,149.32/13,685.34
  6. Step 6: Final answer
    x = 15,867.43

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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.