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Finding the Fourth Proportional to 5,172.84, 7,762.08 and 3,201.18

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Solution

The fourth proportional to 5,172.84, 7,762.08 and 3,201.18 is: 4,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.84 : 7,762.08 = 3,201.18 : x
  2. Step 2: Convert to fraction form
    5,172.84/7,762.08 = 3,201.18/x
  3. Step 3: Cross multiply
    5,172.84x = 7,762.08 × 3,201.18
  4. Step 4: Simplify right side
    5,172.84x = 24,847,815.25
  5. Step 5: Solve for x
    x = 24,847,815.25/5,172.84
  6. Step 6: Final answer
    x = 4,803.52

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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.