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Finding the Fourth Proportional to 30,536.52, 45,745.14 and 21,047.14

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Solution

The fourth proportional to 30,536.52, 45,745.14 and 21,047.14 is: 31,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.52 : 45,745.14 = 21,047.14 : x
  2. Step 2: Convert to fraction form
    30,536.52/45,745.14 = 21,047.14/x
  3. Step 3: Cross multiply
    30,536.52x = 45,745.14 × 21,047.14
  4. Step 4: Simplify right side
    30,536.52x = 962,804,365.90
  5. Step 5: Solve for x
    x = 962,804,365.90/30,536.52
  6. Step 6: Final answer
    x = 31,529.60

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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.