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Finding the Fourth Proportional to 20,643.86, 30,913.20 and 13,602.53

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Solution

The fourth proportional to 20,643.86, 30,913.20 and 13,602.53 is: 20,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.86 : 30,913.20 = 13,602.53 : x
  2. Step 2: Convert to fraction form
    20,643.86/30,913.20 = 13,602.53/x
  3. Step 3: Cross multiply
    20,643.86x = 30,913.20 × 13,602.53
  4. Step 4: Simplify right side
    20,643.86x = 420,497,807.68
  5. Step 5: Solve for x
    x = 420,497,807.68/20,643.86
  6. Step 6: Final answer
    x = 20,369.14

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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.