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Finding the Fourth Proportional to 2,658.96, 3,985.65 and 903.38

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Solution

The fourth proportional to 2,658.96, 3,985.65 and 903.38 is: 1,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.96 : 3,985.65 = 903.38 : x
  2. Step 2: Convert to fraction form
    2,658.96/3,985.65 = 903.38/x
  3. Step 3: Cross multiply
    2,658.96x = 3,985.65 × 903.38
  4. Step 4: Simplify right side
    2,658.96x = 3,600,536.57
  5. Step 5: Solve for x
    x = 3,600,536.57/2,658.96
  6. Step 6: Final answer
    x = 1,354.11

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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.