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Finding the Fourth Proportional to 7,784.68, 10,742.68 and 4,247.88

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Solution

The fourth proportional to 7,784.68, 10,742.68 and 4,247.88 is: 5,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.68 : 10,742.68 = 4,247.88 : x
  2. Step 2: Convert to fraction form
    7,784.68/10,742.68 = 4,247.88/x
  3. Step 3: Cross multiply
    7,784.68x = 10,742.68 × 4,247.88
  4. Step 4: Simplify right side
    7,784.68x = 45,633,615.52
  5. Step 5: Solve for x
    x = 45,633,615.52/7,784.68
  6. Step 6: Final answer
    x = 5,861.98

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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.