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Finding the Fourth Proportional to 2,904.50, 4,354.77 and 956.42

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Solution

The fourth proportional to 2,904.50, 4,354.77 and 956.42 is: 1,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.50 : 4,354.77 = 956.42 : x
  2. Step 2: Convert to fraction form
    2,904.50/4,354.77 = 956.42/x
  3. Step 3: Cross multiply
    2,904.50x = 4,354.77 × 956.42
  4. Step 4: Simplify right side
    2,904.50x = 4,164,989.12
  5. Step 5: Solve for x
    x = 4,164,989.12/2,904.50
  6. Step 6: Final answer
    x = 1,433.98

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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.