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Finding the Fourth Proportional to 3,097.02, 4,645.86 and 906.10

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Solution

The fourth proportional to 3,097.02, 4,645.86 and 906.10 is: 1,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.02 : 4,645.86 = 906.10 : x
  2. Step 2: Convert to fraction form
    3,097.02/4,645.86 = 906.10/x
  3. Step 3: Cross multiply
    3,097.02x = 4,645.86 × 906.10
  4. Step 4: Simplify right side
    3,097.02x = 4,209,613.75
  5. Step 5: Solve for x
    x = 4,209,613.75/3,097.02
  6. Step 6: Final answer
    x = 1,359.25

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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.