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Finding the Fourth Proportional to 5,206.50, 7,809.76 and 2,128.50

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Solution

The fourth proportional to 5,206.50, 7,809.76 and 2,128.50 is: 3,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.50 : 7,809.76 = 2,128.50 : x
  2. Step 2: Convert to fraction form
    5,206.50/7,809.76 = 2,128.50/x
  3. Step 3: Cross multiply
    5,206.50x = 7,809.76 × 2,128.50
  4. Step 4: Simplify right side
    5,206.50x = 16,623,074.16
  5. Step 5: Solve for x
    x = 16,623,074.16/5,206.50
  6. Step 6: Final answer
    x = 3,192.75

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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.