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Finding the Fourth Proportional to 3,139.00, 4,708.39 and 947.67

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Solution

The fourth proportional to 3,139.00, 4,708.39 and 947.67 is: 1,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.00 : 4,708.39 = 947.67 : x
  2. Step 2: Convert to fraction form
    3,139.00/4,708.39 = 947.67/x
  3. Step 3: Cross multiply
    3,139.00x = 4,708.39 × 947.67
  4. Step 4: Simplify right side
    3,139.00x = 4,462,005.52
  5. Step 5: Solve for x
    x = 4,462,005.52/3,139.00
  6. Step 6: Final answer
    x = 1,421.47

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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.