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Finding the Fourth Proportional to 30,543.82, 45,829.50 and 19,447.63

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Solution

The fourth proportional to 30,543.82, 45,829.50 and 19,447.63 is: 29,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.82 : 45,829.50 = 19,447.63 : x
  2. Step 2: Convert to fraction form
    30,543.82/45,829.50 = 19,447.63/x
  3. Step 3: Cross multiply
    30,543.82x = 45,829.50 × 19,447.63
  4. Step 4: Simplify right side
    30,543.82x = 891,275,159.09
  5. Step 5: Solve for x
    x = 891,275,159.09/30,543.82
  6. Step 6: Final answer
    x = 29,180.21

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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.