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Finding the Fourth Proportional to 1,995, 2,990.58 and 824.28

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Solution

The fourth proportional to 1,995, 2,990.58 and 824.28 is: 1,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995 : 2,990.58 = 824.28 : x
  2. Step 2: Convert to fraction form
    1,995/2,990.58 = 824.28/x
  3. Step 3: Cross multiply
    1,995x = 2,990.58 × 824.28
  4. Step 4: Simplify right side
    1,995x = 2,465,075.28
  5. Step 5: Solve for x
    x = 2,465,075.28/1,995
  6. Step 6: Final answer
    x = 1,235.63

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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.