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Finding the Fourth Proportional to 2,950.78, 4,426.80 and 1,004.26

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Solution

The fourth proportional to 2,950.78, 4,426.80 and 1,004.26 is: 1,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.78 : 4,426.80 = 1,004.26 : x
  2. Step 2: Convert to fraction form
    2,950.78/4,426.80 = 1,004.26/x
  3. Step 3: Cross multiply
    2,950.78x = 4,426.80 × 1,004.26
  4. Step 4: Simplify right side
    2,950.78x = 4,445,658.17
  5. Step 5: Solve for x
    x = 4,445,658.17/2,950.78
  6. Step 6: Final answer
    x = 1,506.60

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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.