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Finding the Fourth Proportional to 30,493.84, 45,714.48 and 11,787

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Solution

The fourth proportional to 30,493.84, 45,714.48 and 11,787 is: 17,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.84 : 45,714.48 = 11,787 : x
  2. Step 2: Convert to fraction form
    30,493.84/45,714.48 = 11,787/x
  3. Step 3: Cross multiply
    30,493.84x = 45,714.48 × 11,787
  4. Step 4: Simplify right side
    30,493.84x = 538,836,575.76
  5. Step 5: Solve for x
    x = 538,836,575.76/30,493.84
  6. Step 6: Final answer
    x = 17,670.34

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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.