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Finding the Fourth Proportional to 2,602.48, 3,899.68 and 1,625.64

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Solution

The fourth proportional to 2,602.48, 3,899.68 and 1,625.64 is: 2,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.48 : 3,899.68 = 1,625.64 : x
  2. Step 2: Convert to fraction form
    2,602.48/3,899.68 = 1,625.64/x
  3. Step 3: Cross multiply
    2,602.48x = 3,899.68 × 1,625.64
  4. Step 4: Simplify right side
    2,602.48x = 6,339,475.80
  5. Step 5: Solve for x
    x = 6,339,475.80/2,602.48
  6. Step 6: Final answer
    x = 2,435.94

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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.