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Finding the Fourth Proportional to 4,820, 7,230 and 1,172

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Solution

The fourth proportional to 4,820, 7,230 and 1,172 is: 1,758

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820 : 7,230 = 1,172 : x
  2. Step 2: Convert to fraction form
    4,820/7,230 = 1,172/x
  3. Step 3: Cross multiply
    4,820x = 7,230 × 1,172
  4. Step 4: Simplify right side
    4,820x = 8,473,560
  5. Step 5: Solve for x
    x = 8,473,560/4,820
  6. Step 6: Final answer
    x = 1,758

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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.