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Finding the Fourth Proportional to 7,741.50, 11,607.10 and 2,810.50

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Solution

The fourth proportional to 7,741.50, 11,607.10 and 2,810.50 is: 4,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.50 : 11,607.10 = 2,810.50 : x
  2. Step 2: Convert to fraction form
    7,741.50/11,607.10 = 2,810.50/x
  3. Step 3: Cross multiply
    7,741.50x = 11,607.10 × 2,810.50
  4. Step 4: Simplify right side
    7,741.50x = 32,621,754.55
  5. Step 5: Solve for x
    x = 32,621,754.55/7,741.50
  6. Step 6: Final answer
    x = 4,213.88

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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.