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Finding the Fourth Proportional to 3,609.60, 4,914.24 and 3,577.20

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Solution

The fourth proportional to 3,609.60, 4,914.24 and 3,577.20 is: 4,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.60 : 4,914.24 = 3,577.20 : x
  2. Step 2: Convert to fraction form
    3,609.60/4,914.24 = 3,577.20/x
  3. Step 3: Cross multiply
    3,609.60x = 4,914.24 × 3,577.20
  4. Step 4: Simplify right side
    3,609.60x = 17,579,219.33
  5. Step 5: Solve for x
    x = 17,579,219.33/3,609.60
  6. Step 6: Final answer
    x = 4,870.13

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.