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Finding the Fourth Proportional to 4,521, 6,780.40 and 1,233.88

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Solution

The fourth proportional to 4,521, 6,780.40 and 1,233.88 is: 1,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521 : 6,780.40 = 1,233.88 : x
  2. Step 2: Convert to fraction form
    4,521/6,780.40 = 1,233.88/x
  3. Step 3: Cross multiply
    4,521x = 6,780.40 × 1,233.88
  4. Step 4: Simplify right side
    4,521x = 8,366,199.95
  5. Step 5: Solve for x
    x = 8,366,199.95/4,521
  6. Step 6: Final answer
    x = 1,850.52

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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.