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Finding the Fourth Proportional to 3,091.32, 4,636.14 and 899.48

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Solution

The fourth proportional to 3,091.32, 4,636.14 and 899.48 is: 1,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.32 : 4,636.14 = 899.48 : x
  2. Step 2: Convert to fraction form
    3,091.32/4,636.14 = 899.48/x
  3. Step 3: Cross multiply
    3,091.32x = 4,636.14 × 899.48
  4. Step 4: Simplify right side
    3,091.32x = 4,170,115.21
  5. Step 5: Solve for x
    x = 4,170,115.21/3,091.32
  6. Step 6: Final answer
    x = 1,348.98

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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.