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Finding the Fourth Proportional to 2,395.80, 3,592.50 and 989.95

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Solution

The fourth proportional to 2,395.80, 3,592.50 and 989.95 is: 1,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.80 : 3,592.50 = 989.95 : x
  2. Step 2: Convert to fraction form
    2,395.80/3,592.50 = 989.95/x
  3. Step 3: Cross multiply
    2,395.80x = 3,592.50 × 989.95
  4. Step 4: Simplify right side
    2,395.80x = 3,556,395.38
  5. Step 5: Solve for x
    x = 3,556,395.38/2,395.80
  6. Step 6: Final answer
    x = 1,484.43

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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.