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Finding the Fourth Proportional to 2,374.88, 3,561.71 and 989.47

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Solution

The fourth proportional to 2,374.88, 3,561.71 and 989.47 is: 1,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.88 : 3,561.71 = 989.47 : x
  2. Step 2: Convert to fraction form
    2,374.88/3,561.71 = 989.47/x
  3. Step 3: Cross multiply
    2,374.88x = 3,561.71 × 989.47
  4. Step 4: Simplify right side
    2,374.88x = 3,524,204.70
  5. Step 5: Solve for x
    x = 3,524,204.70/2,374.88
  6. Step 6: Final answer
    x = 1,483.95

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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.