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Finding the Fourth Proportional to 30,419.88, 45,644.40 and 14,829

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Solution

The fourth proportional to 30,419.88, 45,644.40 and 14,829 is: 22,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.88 : 45,644.40 = 14,829 : x
  2. Step 2: Convert to fraction form
    30,419.88/45,644.40 = 14,829/x
  3. Step 3: Cross multiply
    30,419.88x = 45,644.40 × 14,829
  4. Step 4: Simplify right side
    30,419.88x = 676,860,807.60
  5. Step 5: Solve for x
    x = 676,860,807.60/30,419.88
  6. Step 6: Final answer
    x = 22,250.61

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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.