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Finding the Fourth Proportional to 35,878.68, 53,821.80 and 12,185.64

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Solution

The fourth proportional to 35,878.68, 53,821.80 and 12,185.64 is: 18,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.68 : 53,821.80 = 12,185.64 : x
  2. Step 2: Convert to fraction form
    35,878.68/53,821.80 = 12,185.64/x
  3. Step 3: Cross multiply
    35,878.68x = 53,821.80 × 12,185.64
  4. Step 4: Simplify right side
    35,878.68x = 655,853,078.95
  5. Step 5: Solve for x
    x = 655,853,078.95/35,878.68
  6. Step 6: Final answer
    x = 18,279.74

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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.