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Finding the Fourth Proportional to 13,681, 20,523.48 and 4,317.84

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Solution

The fourth proportional to 13,681, 20,523.48 and 4,317.84 is: 6,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681 : 20,523.48 = 4,317.84 : x
  2. Step 2: Convert to fraction form
    13,681/20,523.48 = 4,317.84/x
  3. Step 3: Cross multiply
    13,681x = 20,523.48 × 4,317.84
  4. Step 4: Simplify right side
    13,681x = 88,617,102.88
  5. Step 5: Solve for x
    x = 88,617,102.88/13,681
  6. Step 6: Final answer
    x = 6,477.38

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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.