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Finding the Fourth Proportional to 30,429, 45,636.48 and 11,702.88

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Solution

The fourth proportional to 30,429, 45,636.48 and 11,702.88 is: 17,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429 : 45,636.48 = 11,702.88 : x
  2. Step 2: Convert to fraction form
    30,429/45,636.48 = 11,702.88/x
  3. Step 3: Cross multiply
    30,429x = 45,636.48 × 11,702.88
  4. Step 4: Simplify right side
    30,429x = 534,078,249.06
  5. Step 5: Solve for x
    x = 534,078,249.06/30,429
  6. Step 6: Final answer
    x = 17,551.62

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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.