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Finding the Fourth Proportional to 6,842.76, 10,256.96 and 3,877.52

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Solution

The fourth proportional to 6,842.76, 10,256.96 and 3,877.52 is: 5,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.76 : 10,256.96 = 3,877.52 : x
  2. Step 2: Convert to fraction form
    6,842.76/10,256.96 = 3,877.52/x
  3. Step 3: Cross multiply
    6,842.76x = 10,256.96 × 3,877.52
  4. Step 4: Simplify right side
    6,842.76x = 39,771,496.87
  5. Step 5: Solve for x
    x = 39,771,496.87/6,842.76
  6. Step 6: Final answer
    x = 5,812.20

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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.