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Finding the Fourth Proportional to 4,461, 6,691.50 and 1,383

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Solution

The fourth proportional to 4,461, 6,691.50 and 1,383 is: 2,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461 : 6,691.50 = 1,383 : x
  2. Step 2: Convert to fraction form
    4,461/6,691.50 = 1,383/x
  3. Step 3: Cross multiply
    4,461x = 6,691.50 × 1,383
  4. Step 4: Simplify right side
    4,461x = 9,254,344.50
  5. Step 5: Solve for x
    x = 9,254,344.50/4,461
  6. Step 6: Final answer
    x = 2,074.50

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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.