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Finding the Fourth Proportional to 27,985.80, 41,978.70 and 10,454.70

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Solution

The fourth proportional to 27,985.80, 41,978.70 and 10,454.70 is: 15,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.80 : 41,978.70 = 10,454.70 : x
  2. Step 2: Convert to fraction form
    27,985.80/41,978.70 = 10,454.70/x
  3. Step 3: Cross multiply
    27,985.80x = 41,978.70 × 10,454.70
  4. Step 4: Simplify right side
    27,985.80x = 438,874,714.89
  5. Step 5: Solve for x
    x = 438,874,714.89/27,985.80
  6. Step 6: Final answer
    x = 15,682.05

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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.