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Finding the Fourth Proportional to 5,206.88, 7,812.12 and 3,256.76

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Solution

The fourth proportional to 5,206.88, 7,812.12 and 3,256.76 is: 4,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.88 : 7,812.12 = 3,256.76 : x
  2. Step 2: Convert to fraction form
    5,206.88/7,812.12 = 3,256.76/x
  3. Step 3: Cross multiply
    5,206.88x = 7,812.12 × 3,256.76
  4. Step 4: Simplify right side
    5,206.88x = 25,442,199.93
  5. Step 5: Solve for x
    x = 25,442,199.93/5,206.88
  6. Step 6: Final answer
    x = 4,886.27

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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.