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Finding the Fourth Proportional to 20,124.40, 27,415.84 and 20,124.40

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Solution

The fourth proportional to 20,124.40, 27,415.84 and 20,124.40 is: 27,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.40 : 27,415.84 = 20,124.40 : x
  2. Step 2: Convert to fraction form
    20,124.40/27,415.84 = 20,124.40/x
  3. Step 3: Cross multiply
    20,124.40x = 27,415.84 × 20,124.40
  4. Step 4: Simplify right side
    20,124.40x = 551,727,330.50
  5. Step 5: Solve for x
    x = 551,727,330.50/20,124.40
  6. Step 6: Final answer
    x = 27,415.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.