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Finding the Fourth Proportional to 13,713, 20,567.34 and 6,317.16

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Solution

The fourth proportional to 13,713, 20,567.34 and 6,317.16 is: 9,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713 : 20,567.34 = 6,317.16 : x
  2. Step 2: Convert to fraction form
    13,713/20,567.34 = 6,317.16/x
  3. Step 3: Cross multiply
    13,713x = 20,567.34 × 6,317.16
  4. Step 4: Simplify right side
    13,713x = 129,927,177.55
  5. Step 5: Solve for x
    x = 129,927,177.55/13,713
  6. Step 6: Final answer
    x = 9,474.74

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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.