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Finding the Fourth Proportional to 3,189.84, 4,784.96 and 999.19

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Solution

The fourth proportional to 3,189.84, 4,784.96 and 999.19 is: 1,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.84 : 4,784.96 = 999.19 : x
  2. Step 2: Convert to fraction form
    3,189.84/4,784.96 = 999.19/x
  3. Step 3: Cross multiply
    3,189.84x = 4,784.96 × 999.19
  4. Step 4: Simplify right side
    3,189.84x = 4,781,084.18
  5. Step 5: Solve for x
    x = 4,781,084.18/3,189.84
  6. Step 6: Final answer
    x = 1,498.85

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1.5x scale

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.