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Finding the Fourth Proportional to 2,465.48, 3,696.99 and 821.45

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Solution

The fourth proportional to 2,465.48, 3,696.99 and 821.45 is: 1,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.48 : 3,696.99 = 821.45 : x
  2. Step 2: Convert to fraction form
    2,465.48/3,696.99 = 821.45/x
  3. Step 3: Cross multiply
    2,465.48x = 3,696.99 × 821.45
  4. Step 4: Simplify right side
    2,465.48x = 3,036,892.44
  5. Step 5: Solve for x
    x = 3,036,892.44/2,465.48
  6. Step 6: Final answer
    x = 1,231.77

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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.