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Finding the Fourth Proportional to 3,308, 4,565.12 and 1,816

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Solution

The fourth proportional to 3,308, 4,565.12 and 1,816 is: 2,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308 : 4,565.12 = 1,816 : x
  2. Step 2: Convert to fraction form
    3,308/4,565.12 = 1,816/x
  3. Step 3: Cross multiply
    3,308x = 4,565.12 × 1,816
  4. Step 4: Simplify right side
    3,308x = 8,290,257.92
  5. Step 5: Solve for x
    x = 8,290,257.92/3,308
  6. Step 6: Final answer
    x = 2,506.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.