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Finding the Fourth Proportional to 30,677.13, 45,978.03 and 15,877.62

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Solution

The fourth proportional to 30,677.13, 45,978.03 and 15,877.62 is: 23,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.13 : 45,978.03 = 15,877.62 : x
  2. Step 2: Convert to fraction form
    30,677.13/45,978.03 = 15,877.62/x
  3. Step 3: Cross multiply
    30,677.13x = 45,978.03 × 15,877.62
  4. Step 4: Simplify right side
    30,677.13x = 730,021,688.69
  5. Step 5: Solve for x
    x = 730,021,688.69/30,677.13
  6. Step 6: Final answer
    x = 23,796.94

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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.