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Finding the Fourth Proportional to 4,557, 6,835.50 and 1,479

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Solution

The fourth proportional to 4,557, 6,835.50 and 1,479 is: 2,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 6,835.50 = 1,479 : x
  2. Step 2: Convert to fraction form
    4,557/6,835.50 = 1,479/x
  3. Step 3: Cross multiply
    4,557x = 6,835.50 × 1,479
  4. Step 4: Simplify right side
    4,557x = 10,109,704.50
  5. Step 5: Solve for x
    x = 10,109,704.50/4,557
  6. Step 6: Final answer
    x = 2,218.50

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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.