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Finding the Fourth Proportional to 2,602.02, 3,903 and 654.24

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Solution

The fourth proportional to 2,602.02, 3,903 and 654.24 is: 981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.02 : 3,903 = 654.24 : x
  2. Step 2: Convert to fraction form
    2,602.02/3,903 = 654.24/x
  3. Step 3: Cross multiply
    2,602.02x = 3,903 × 654.24
  4. Step 4: Simplify right side
    2,602.02x = 2,553,498.72
  5. Step 5: Solve for x
    x = 2,553,498.72/2,602.02
  6. Step 6: Final answer
    x = 981.35

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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.