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Finding the Fourth Proportional to 4,475, 6,711.60 and 1,553.42

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Solution

The fourth proportional to 4,475, 6,711.60 and 1,553.42 is: 2,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475 : 6,711.60 = 1,553.42 : x
  2. Step 2: Convert to fraction form
    4,475/6,711.60 = 1,553.42/x
  3. Step 3: Cross multiply
    4,475x = 6,711.60 × 1,553.42
  4. Step 4: Simplify right side
    4,475x = 10,425,933.67
  5. Step 5: Solve for x
    x = 10,425,933.67/4,475
  6. Step 6: Final answer
    x = 2,329.82

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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.