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Finding the Fourth Proportional to 2,991.84, 4,488.48 and 1,431.72

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Solution

The fourth proportional to 2,991.84, 4,488.48 and 1,431.72 is: 2,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.84 : 4,488.48 = 1,431.72 : x
  2. Step 2: Convert to fraction form
    2,991.84/4,488.48 = 1,431.72/x
  3. Step 3: Cross multiply
    2,991.84x = 4,488.48 × 1,431.72
  4. Step 4: Simplify right side
    2,991.84x = 6,426,246.59
  5. Step 5: Solve for x
    x = 6,426,246.59/2,991.84
  6. Step 6: Final answer
    x = 2,147.92

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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.