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Finding the Fourth Proportional to 3,029, 4,543.50 and 1,206.28

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Solution

The fourth proportional to 3,029, 4,543.50 and 1,206.28 is: 1,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029 : 4,543.50 = 1,206.28 : x
  2. Step 2: Convert to fraction form
    3,029/4,543.50 = 1,206.28/x
  3. Step 3: Cross multiply
    3,029x = 4,543.50 × 1,206.28
  4. Step 4: Simplify right side
    3,029x = 5,480,733.18
  5. Step 5: Solve for x
    x = 5,480,733.18/3,029
  6. Step 6: Final answer
    x = 1,809.42

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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.