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Finding the Fourth Proportional to 3,607.55, 5,409.31 and 1,266.91

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Solution

The fourth proportional to 3,607.55, 5,409.31 and 1,266.91 is: 1,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.55 : 5,409.31 = 1,266.91 : x
  2. Step 2: Convert to fraction form
    3,607.55/5,409.31 = 1,266.91/x
  3. Step 3: Cross multiply
    3,607.55x = 5,409.31 × 1,266.91
  4. Step 4: Simplify right side
    3,607.55x = 6,853,091.05
  5. Step 5: Solve for x
    x = 6,853,091.05/3,607.55
  6. Step 6: Final answer
    x = 1,899.65

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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.