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Finding the Fourth Proportional to 2,805.04, 4,207.60 and 1,161.60

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Solution

The fourth proportional to 2,805.04, 4,207.60 and 1,161.60 is: 1,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.04 : 4,207.60 = 1,161.60 : x
  2. Step 2: Convert to fraction form
    2,805.04/4,207.60 = 1,161.60/x
  3. Step 3: Cross multiply
    2,805.04x = 4,207.60 × 1,161.60
  4. Step 4: Simplify right side
    2,805.04x = 4,887,548.16
  5. Step 5: Solve for x
    x = 4,887,548.16/2,805.04
  6. Step 6: Final answer
    x = 1,742.42

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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.