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Finding the Fourth Proportional to 30,666.22, 45,978.08 and 15,644.18

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Solution

The fourth proportional to 30,666.22, 45,978.08 and 15,644.18 is: 23,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.22 : 45,978.08 = 15,644.18 : x
  2. Step 2: Convert to fraction form
    30,666.22/45,978.08 = 15,644.18/x
  3. Step 3: Cross multiply
    30,666.22x = 45,978.08 × 15,644.18
  4. Step 4: Simplify right side
    30,666.22x = 719,289,359.57
  5. Step 5: Solve for x
    x = 719,289,359.57/30,666.22
  6. Step 6: Final answer
    x = 23,455.43

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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.