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Finding the Fourth Proportional to 4,743.79, 7,115.96 and 1,456.91

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Solution

The fourth proportional to 4,743.79, 7,115.96 and 1,456.91 is: 2,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.79 : 7,115.96 = 1,456.91 : x
  2. Step 2: Convert to fraction form
    4,743.79/7,115.96 = 1,456.91/x
  3. Step 3: Cross multiply
    4,743.79x = 7,115.96 × 1,456.91
  4. Step 4: Simplify right side
    4,743.79x = 10,367,313.28
  5. Step 5: Solve for x
    x = 10,367,313.28/4,743.79
  6. Step 6: Final answer
    x = 2,185.45

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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.