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Finding the Fourth Proportional to 4,947.69, 7,421.36 and 1,484.85

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Solution

The fourth proportional to 4,947.69, 7,421.36 and 1,484.85 is: 2,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.69 : 7,421.36 = 1,484.85 : x
  2. Step 2: Convert to fraction form
    4,947.69/7,421.36 = 1,484.85/x
  3. Step 3: Cross multiply
    4,947.69x = 7,421.36 × 1,484.85
  4. Step 4: Simplify right side
    4,947.69x = 11,019,598.97
  5. Step 5: Solve for x
    x = 11,019,598.97/4,947.69
  6. Step 6: Final answer
    x = 2,227.22

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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.