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Finding the Fourth Proportional to 29,971.86, 45,008.82 and 28,717.98

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Solution

The fourth proportional to 29,971.86, 45,008.82 and 28,717.98 is: 43,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.86 : 45,008.82 = 28,717.98 : x
  2. Step 2: Convert to fraction form
    29,971.86/45,008.82 = 28,717.98/x
  3. Step 3: Cross multiply
    29,971.86x = 45,008.82 × 28,717.98
  4. Step 4: Simplify right side
    29,971.86x = 1,292,562,392.58
  5. Step 5: Solve for x
    x = 1,292,562,392.58/29,971.86
  6. Step 6: Final answer
    x = 43,125.87

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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.