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Finding the Fourth Proportional to 3,029.63, 4,545.08 and 949.47

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Solution

The fourth proportional to 3,029.63, 4,545.08 and 949.47 is: 1,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.63 : 4,545.08 = 949.47 : x
  2. Step 2: Convert to fraction form
    3,029.63/4,545.08 = 949.47/x
  3. Step 3: Cross multiply
    3,029.63x = 4,545.08 × 949.47
  4. Step 4: Simplify right side
    3,029.63x = 4,315,412.36
  5. Step 5: Solve for x
    x = 4,315,412.36/3,029.63
  6. Step 6: Final answer
    x = 1,424.40

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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.