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Finding the Fourth Proportional to 11,830, 17,748 and 4,434.48

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Solution

The fourth proportional to 11,830, 17,748 and 4,434.48 is: 6,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830 : 17,748 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    11,830/17,748 = 4,434.48/x
  3. Step 3: Cross multiply
    11,830x = 17,748 × 4,434.48
  4. Step 4: Simplify right side
    11,830x = 78,703,151.04
  5. Step 5: Solve for x
    x = 78,703,151.04/11,830
  6. Step 6: Final answer
    x = 6,652.84

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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.