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Finding the Fourth Proportional to 4,764.81, 7,146.98 and 1,478.22

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Solution

The fourth proportional to 4,764.81, 7,146.98 and 1,478.22 is: 2,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.81 : 7,146.98 = 1,478.22 : x
  2. Step 2: Convert to fraction form
    4,764.81/7,146.98 = 1,478.22/x
  3. Step 3: Cross multiply
    4,764.81x = 7,146.98 × 1,478.22
  4. Step 4: Simplify right side
    4,764.81x = 10,564,801.38
  5. Step 5: Solve for x
    x = 10,564,801.38/4,764.81
  6. Step 6: Final answer
    x = 2,217.26

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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.