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Finding the Fourth Proportional to 2,855.60, 4,284.63 and 1,008.03

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Solution

The fourth proportional to 2,855.60, 4,284.63 and 1,008.03 is: 1,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.60 : 4,284.63 = 1,008.03 : x
  2. Step 2: Convert to fraction form
    2,855.60/4,284.63 = 1,008.03/x
  3. Step 3: Cross multiply
    2,855.60x = 4,284.63 × 1,008.03
  4. Step 4: Simplify right side
    2,855.60x = 4,319,035.58
  5. Step 5: Solve for x
    x = 4,319,035.58/2,855.60
  6. Step 6: Final answer
    x = 1,512.48

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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.