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Finding the Fourth Proportional to 13,578, 20,367.12 and 5,370

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Solution

The fourth proportional to 13,578, 20,367.12 and 5,370 is: 8,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 20,367.12 = 5,370 : x
  2. Step 2: Convert to fraction form
    13,578/20,367.12 = 5,370/x
  3. Step 3: Cross multiply
    13,578x = 20,367.12 × 5,370
  4. Step 4: Simplify right side
    13,578x = 109,371,434.40
  5. Step 5: Solve for x
    x = 109,371,434.40/13,578
  6. Step 6: Final answer
    x = 8,055.05

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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.