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Finding the Fourth Proportional to 7,812.55, 11,713.95 and 3,650.77

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Solution

The fourth proportional to 7,812.55, 11,713.95 and 3,650.77 is: 5,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.55 : 11,713.95 = 3,650.77 : x
  2. Step 2: Convert to fraction form
    7,812.55/11,713.95 = 3,650.77/x
  3. Step 3: Cross multiply
    7,812.55x = 11,713.95 × 3,650.77
  4. Step 4: Simplify right side
    7,812.55x = 42,764,937.24
  5. Step 5: Solve for x
    x = 42,764,937.24/7,812.55
  6. Step 6: Final answer
    x = 5,473.88

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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.