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Finding the Fourth Proportional to 30,423.82, 45,636 and 10,702.54

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Solution

The fourth proportional to 30,423.82, 45,636 and 10,702.54 is: 16,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.82 : 45,636 = 10,702.54 : x
  2. Step 2: Convert to fraction form
    30,423.82/45,636 = 10,702.54/x
  3. Step 3: Cross multiply
    30,423.82x = 45,636 × 10,702.54
  4. Step 4: Simplify right side
    30,423.82x = 488,421,115.44
  5. Step 5: Solve for x
    x = 488,421,115.44/30,423.82
  6. Step 6: Final answer
    x = 16,053.90

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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.