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Finding the Fourth Proportional to 16,430, 24,645 and 4,741.52

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Solution

The fourth proportional to 16,430, 24,645 and 4,741.52 is: 7,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430 : 24,645 = 4,741.52 : x
  2. Step 2: Convert to fraction form
    16,430/24,645 = 4,741.52/x
  3. Step 3: Cross multiply
    16,430x = 24,645 × 4,741.52
  4. Step 4: Simplify right side
    16,430x = 116,854,760.40
  5. Step 5: Solve for x
    x = 116,854,760.40/16,430
  6. Step 6: Final answer
    x = 7,112.28

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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.