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Finding the Fourth Proportional to 2,269.85, 3,405.75 and 953.94

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Solution

The fourth proportional to 2,269.85, 3,405.75 and 953.94 is: 1,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.85 : 3,405.75 = 953.94 : x
  2. Step 2: Convert to fraction form
    2,269.85/3,405.75 = 953.94/x
  3. Step 3: Cross multiply
    2,269.85x = 3,405.75 × 953.94
  4. Step 4: Simplify right side
    2,269.85x = 3,248,881.16
  5. Step 5: Solve for x
    x = 3,248,881.16/2,269.85
  6. Step 6: Final answer
    x = 1,431.32

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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.