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Finding the Fourth Proportional to 7,837.50, 10,816.72 and 4,525.50

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Solution

The fourth proportional to 7,837.50, 10,816.72 and 4,525.50 is: 6,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.50 : 10,816.72 = 4,525.50 : x
  2. Step 2: Convert to fraction form
    7,837.50/10,816.72 = 4,525.50/x
  3. Step 3: Cross multiply
    7,837.50x = 10,816.72 × 4,525.50
  4. Step 4: Simplify right side
    7,837.50x = 48,951,066.36
  5. Step 5: Solve for x
    x = 48,951,066.36/7,837.50
  6. Step 6: Final answer
    x = 6,245.75

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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.