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Finding the Fourth Proportional to 2,656.85, 3,985.40 and 902.05

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Solution

The fourth proportional to 2,656.85, 3,985.40 and 902.05 is: 1,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.85 : 3,985.40 = 902.05 : x
  2. Step 2: Convert to fraction form
    2,656.85/3,985.40 = 902.05/x
  3. Step 3: Cross multiply
    2,656.85x = 3,985.40 × 902.05
  4. Step 4: Simplify right side
    2,656.85x = 3,595,022.36
  5. Step 5: Solve for x
    x = 3,595,022.36/2,656.85
  6. Step 6: Final answer
    x = 1,353.12

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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.