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Finding the Fourth Proportional to 2,154.60, 3,229.74 and 999

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Solution

The fourth proportional to 2,154.60, 3,229.74 and 999 is: 1,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.60 : 3,229.74 = 999 : x
  2. Step 2: Convert to fraction form
    2,154.60/3,229.74 = 999/x
  3. Step 3: Cross multiply
    2,154.60x = 3,229.74 × 999
  4. Step 4: Simplify right side
    2,154.60x = 3,226,510.26
  5. Step 5: Solve for x
    x = 3,226,510.26/2,154.60
  6. Step 6: Final answer
    x = 1,497.50

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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.