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Finding the Fourth Proportional to 5,591, 8,386.79 and 1,431.04

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Solution

The fourth proportional to 5,591, 8,386.79 and 1,431.04 is: 2,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591 : 8,386.79 = 1,431.04 : x
  2. Step 2: Convert to fraction form
    5,591/8,386.79 = 1,431.04/x
  3. Step 3: Cross multiply
    5,591x = 8,386.79 × 1,431.04
  4. Step 4: Simplify right side
    5,591x = 12,001,845.77
  5. Step 5: Solve for x
    x = 12,001,845.77/5,591
  6. Step 6: Final answer
    x = 2,146.64

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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.