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Finding the Fourth Proportional to 3,206.08, 4,809.16 and 1,015

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Solution

The fourth proportional to 3,206.08, 4,809.16 and 1,015 is: 1,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.08 : 4,809.16 = 1,015 : x
  2. Step 2: Convert to fraction form
    3,206.08/4,809.16 = 1,015/x
  3. Step 3: Cross multiply
    3,206.08x = 4,809.16 × 1,015
  4. Step 4: Simplify right side
    3,206.08x = 4,881,297.40
  5. Step 5: Solve for x
    x = 4,881,297.40/3,206.08
  6. Step 6: Final answer
    x = 1,522.51

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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.