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Finding the Fourth Proportional to 10,378.80, 15,535.80 and 8,175.60

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Solution

The fourth proportional to 10,378.80, 15,535.80 and 8,175.60 is: 12,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.80 : 15,535.80 = 8,175.60 : x
  2. Step 2: Convert to fraction form
    10,378.80/15,535.80 = 8,175.60/x
  3. Step 3: Cross multiply
    10,378.80x = 15,535.80 × 8,175.60
  4. Step 4: Simplify right side
    10,378.80x = 127,014,486.48
  5. Step 5: Solve for x
    x = 127,014,486.48/10,378.80
  6. Step 6: Final answer
    x = 12,237.88

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1.5x scale

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.