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Finding the Fourth Proportional to 3,135.81, 4,703.06 and 943.89

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Solution

The fourth proportional to 3,135.81, 4,703.06 and 943.89 is: 1,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.81 : 4,703.06 = 943.89 : x
  2. Step 2: Convert to fraction form
    3,135.81/4,703.06 = 943.89/x
  3. Step 3: Cross multiply
    3,135.81x = 4,703.06 × 943.89
  4. Step 4: Simplify right side
    3,135.81x = 4,439,166.58
  5. Step 5: Solve for x
    x = 4,439,166.58/3,135.81
  6. Step 6: Final answer
    x = 1,415.64

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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.