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Finding the Fourth Proportional to 27,078.88, 40,506 and 25,420

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Solution

The fourth proportional to 27,078.88, 40,506 and 25,420 is: 38,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.88 : 40,506 = 25,420 : x
  2. Step 2: Convert to fraction form
    27,078.88/40,506 = 25,420/x
  3. Step 3: Cross multiply
    27,078.88x = 40,506 × 25,420
  4. Step 4: Simplify right side
    27,078.88x = 1,029,662,520
  5. Step 5: Solve for x
    x = 1,029,662,520/27,078.88
  6. Step 6: Final answer
    x = 38,024.56

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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.