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Finding the Fourth Proportional to 4,709.90, 7,064.80 and 1,199.92

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Solution

The fourth proportional to 4,709.90, 7,064.80 and 1,199.92 is: 1,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.90 : 7,064.80 = 1,199.92 : x
  2. Step 2: Convert to fraction form
    4,709.90/7,064.80 = 1,199.92/x
  3. Step 3: Cross multiply
    4,709.90x = 7,064.80 × 1,199.92
  4. Step 4: Simplify right side
    4,709.90x = 8,477,194.82
  5. Step 5: Solve for x
    x = 8,477,194.82/4,709.90
  6. Step 6: Final answer
    x = 1,799.87

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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.