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Finding the Fourth Proportional to 1,816, 2,506.56 and 1,195.84

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Solution

The fourth proportional to 1,816, 2,506.56 and 1,195.84 is: 1,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816 : 2,506.56 = 1,195.84 : x
  2. Step 2: Convert to fraction form
    1,816/2,506.56 = 1,195.84/x
  3. Step 3: Cross multiply
    1,816x = 2,506.56 × 1,195.84
  4. Step 4: Simplify right side
    1,816x = 2,997,444.71
  5. Step 5: Solve for x
    x = 2,997,444.71/1,816
  6. Step 6: Final answer
    x = 1,650.58

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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.