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Finding the Fourth Proportional to 5,735.40, 8,603.10 and 3,431.40

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Solution

The fourth proportional to 5,735.40, 8,603.10 and 3,431.40 is: 5,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.40 : 8,603.10 = 3,431.40 : x
  2. Step 2: Convert to fraction form
    5,735.40/8,603.10 = 3,431.40/x
  3. Step 3: Cross multiply
    5,735.40x = 8,603.10 × 3,431.40
  4. Step 4: Simplify right side
    5,735.40x = 29,520,677.34
  5. Step 5: Solve for x
    x = 29,520,677.34/5,735.40
  6. Step 6: Final answer
    x = 5,147.10

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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.