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Finding the Fourth Proportional to 3,287.16, 4,927.08 and 1,645.08

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Solution

The fourth proportional to 3,287.16, 4,927.08 and 1,645.08 is: 2,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.16 : 4,927.08 = 1,645.08 : x
  2. Step 2: Convert to fraction form
    3,287.16/4,927.08 = 1,645.08/x
  3. Step 3: Cross multiply
    3,287.16x = 4,927.08 × 1,645.08
  4. Step 4: Simplify right side
    3,287.16x = 8,105,440.77
  5. Step 5: Solve for x
    x = 8,105,440.77/3,287.16
  6. Step 6: Final answer
    x = 2,465.79

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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.