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Finding the Fourth Proportional to 3,310.65, 4,569.62 and 1,895.13

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Solution

The fourth proportional to 3,310.65, 4,569.62 and 1,895.13 is: 2,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.65 : 4,569.62 = 1,895.13 : x
  2. Step 2: Convert to fraction form
    3,310.65/4,569.62 = 1,895.13/x
  3. Step 3: Cross multiply
    3,310.65x = 4,569.62 × 1,895.13
  4. Step 4: Simplify right side
    3,310.65x = 8,660,014.47
  5. Step 5: Solve for x
    x = 8,660,014.47/3,310.65
  6. Step 6: Final answer
    x = 2,615.80

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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.