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Finding the Fourth Proportional to 4,520, 6,780.12 and 1,442

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Solution

The fourth proportional to 4,520, 6,780.12 and 1,442 is: 2,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520 : 6,780.12 = 1,442 : x
  2. Step 2: Convert to fraction form
    4,520/6,780.12 = 1,442/x
  3. Step 3: Cross multiply
    4,520x = 6,780.12 × 1,442
  4. Step 4: Simplify right side
    4,520x = 9,776,933.04
  5. Step 5: Solve for x
    x = 9,776,933.04/4,520
  6. Step 6: Final answer
    x = 2,163.04

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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.