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Finding the Fourth Proportional to 30,029.94, 45,051.26 and 8,971.61

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Solution

The fourth proportional to 30,029.94, 45,051.26 and 8,971.61 is: 13,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,029.94 : 45,051.26 = 8,971.61 : x
  2. Step 2: Convert to fraction form
    30,029.94/45,051.26 = 8,971.61/x
  3. Step 3: Cross multiply
    30,029.94x = 45,051.26 × 8,971.61
  4. Step 4: Simplify right side
    30,029.94x = 404,182,064.61
  5. Step 5: Solve for x
    x = 404,182,064.61/30,029.94
  6. Step 6: Final answer
    x = 13,459.30

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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.