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Finding the Fourth Proportional to 3,138.41, 4,708.08 and 947.32

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Solution

The fourth proportional to 3,138.41, 4,708.08 and 947.32 is: 1,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.41 : 4,708.08 = 947.32 : x
  2. Step 2: Convert to fraction form
    3,138.41/4,708.08 = 947.32/x
  3. Step 3: Cross multiply
    3,138.41x = 4,708.08 × 947.32
  4. Step 4: Simplify right side
    3,138.41x = 4,460,046.58
  5. Step 5: Solve for x
    x = 4,460,046.58/3,138.41
  6. Step 6: Final answer
    x = 1,421.12

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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.