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Finding the Fourth Proportional to 36,030, 54,053.64 and 11,406

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Solution

The fourth proportional to 36,030, 54,053.64 and 11,406 is: 17,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,030 : 54,053.64 = 11,406 : x
  2. Step 2: Convert to fraction form
    36,030/54,053.64 = 11,406/x
  3. Step 3: Cross multiply
    36,030x = 54,053.64 × 11,406
  4. Step 4: Simplify right side
    36,030x = 616,535,817.84
  5. Step 5: Solve for x
    x = 616,535,817.84/36,030
  6. Step 6: Final answer
    x = 17,111.74

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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.