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Finding the Fourth Proportional to 4,747.93, 7,122.84 and 1,460.90

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Solution

The fourth proportional to 4,747.93, 7,122.84 and 1,460.90 is: 2,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.93 : 7,122.84 = 1,460.90 : x
  2. Step 2: Convert to fraction form
    4,747.93/7,122.84 = 1,460.90/x
  3. Step 3: Cross multiply
    4,747.93x = 7,122.84 × 1,460.90
  4. Step 4: Simplify right side
    4,747.93x = 10,405,756.96
  5. Step 5: Solve for x
    x = 10,405,756.96/4,747.93
  6. Step 6: Final answer
    x = 2,191.64

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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.