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Finding the Fourth Proportional to 10,563.80, 15,835.80 and 3,994.40

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Solution

The fourth proportional to 10,563.80, 15,835.80 and 3,994.40 is: 5,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.80 : 15,835.80 = 3,994.40 : x
  2. Step 2: Convert to fraction form
    10,563.80/15,835.80 = 3,994.40/x
  3. Step 3: Cross multiply
    10,563.80x = 15,835.80 × 3,994.40
  4. Step 4: Simplify right side
    10,563.80x = 63,254,519.52
  5. Step 5: Solve for x
    x = 63,254,519.52/10,563.80
  6. Step 6: Final answer
    x = 5,987.86

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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.