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Finding the Fourth Proportional to 3,138.79, 4,708.95 and 947.39

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Solution

The fourth proportional to 3,138.79, 4,708.95 and 947.39 is: 1,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.79 : 4,708.95 = 947.39 : x
  2. Step 2: Convert to fraction form
    3,138.79/4,708.95 = 947.39/x
  3. Step 3: Cross multiply
    3,138.79x = 4,708.95 × 947.39
  4. Step 4: Simplify right side
    3,138.79x = 4,461,198.00
  5. Step 5: Solve for x
    x = 4,461,198.00/3,138.79
  6. Step 6: Final answer
    x = 1,421.31

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1.5x scale

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.