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Finding the Fourth Proportional to 3,143.70, 4,712.25 and 1,062.98

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Solution

The fourth proportional to 3,143.70, 4,712.25 and 1,062.98 is: 1,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.70 : 4,712.25 = 1,062.98 : x
  2. Step 2: Convert to fraction form
    3,143.70/4,712.25 = 1,062.98/x
  3. Step 3: Cross multiply
    3,143.70x = 4,712.25 × 1,062.98
  4. Step 4: Simplify right side
    3,143.70x = 5,009,027.51
  5. Step 5: Solve for x
    x = 5,009,027.51/3,143.70
  6. Step 6: Final answer
    x = 1,593.35

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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.