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Finding the Fourth Proportional to 947.13, 1,417.12 and 851.21

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Solution

The fourth proportional to 947.13, 1,417.12 and 851.21 is: 1,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.13 : 1,417.12 = 851.21 : x
  2. Step 2: Convert to fraction form
    947.13/1,417.12 = 851.21/x
  3. Step 3: Cross multiply
    947.13x = 1,417.12 × 851.21
  4. Step 4: Simplify right side
    947.13x = 1,206,266.72
  5. Step 5: Solve for x
    x = 1,206,266.72/947.13
  6. Step 6: Final answer
    x = 1,273.60

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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.