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Finding the Fourth Proportional to 4,699.36, 7,049.02 and 1,189.40

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Solution

The fourth proportional to 4,699.36, 7,049.02 and 1,189.40 is: 1,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.36 : 7,049.02 = 1,189.40 : x
  2. Step 2: Convert to fraction form
    4,699.36/7,049.02 = 1,189.40/x
  3. Step 3: Cross multiply
    4,699.36x = 7,049.02 × 1,189.40
  4. Step 4: Simplify right side
    4,699.36x = 8,384,104.39
  5. Step 5: Solve for x
    x = 8,384,104.39/4,699.36
  6. Step 6: Final answer
    x = 1,784.09

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1.5x scale

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.