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Finding the Fourth Proportional to 30,297.78, 45,446.58 and 11,829.78

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Solution

The fourth proportional to 30,297.78, 45,446.58 and 11,829.78 is: 17,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.78 : 45,446.58 = 11,829.78 : x
  2. Step 2: Convert to fraction form
    30,297.78/45,446.58 = 11,829.78/x
  3. Step 3: Cross multiply
    30,297.78x = 45,446.58 × 11,829.78
  4. Step 4: Simplify right side
    30,297.78x = 537,623,043.15
  5. Step 5: Solve for x
    x = 537,623,043.15/30,297.78
  6. Step 6: Final answer
    x = 17,744.63

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1.5x scale

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.