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Finding the Fourth Proportional to 7,642.13, 10,563.80 and 6,375.80

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Solution

The fourth proportional to 7,642.13, 10,563.80 and 6,375.80 is: 8,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.13 : 10,563.80 = 6,375.80 : x
  2. Step 2: Convert to fraction form
    7,642.13/10,563.80 = 6,375.80/x
  3. Step 3: Cross multiply
    7,642.13x = 10,563.80 × 6,375.80
  4. Step 4: Simplify right side
    7,642.13x = 67,352,670.57
  5. Step 5: Solve for x
    x = 67,352,670.57/7,642.13
  6. Step 6: Final answer
    x = 8,813.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.