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Finding the Fourth Proportional to 3,139.70, 4,708.94 and 947.91

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Solution

The fourth proportional to 3,139.70, 4,708.94 and 947.91 is: 1,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.70 : 4,708.94 = 947.91 : x
  2. Step 2: Convert to fraction form
    3,139.70/4,708.94 = 947.91/x
  3. Step 3: Cross multiply
    3,139.70x = 4,708.94 × 947.91
  4. Step 4: Simplify right side
    3,139.70x = 4,463,646.58
  5. Step 5: Solve for x
    x = 4,463,646.58/3,139.70
  6. Step 6: Final answer
    x = 1,421.68

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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.