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Finding the Fourth Proportional to 30,615.64, 45,914.75 and 11,891.68

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Solution

The fourth proportional to 30,615.64, 45,914.75 and 11,891.68 is: 17,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.64 : 45,914.75 = 11,891.68 : x
  2. Step 2: Convert to fraction form
    30,615.64/45,914.75 = 11,891.68/x
  3. Step 3: Cross multiply
    30,615.64x = 45,914.75 × 11,891.68
  4. Step 4: Simplify right side
    30,615.64x = 546,003,384.63
  5. Step 5: Solve for x
    x = 546,003,384.63/30,615.64
  6. Step 6: Final answer
    x = 17,834.13

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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.