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Finding the Fourth Proportional to 30,014.33, 45,021.51 and 7,827.68

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Solution

The fourth proportional to 30,014.33, 45,021.51 and 7,827.68 is: 11,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.33 : 45,021.51 = 7,827.68 : x
  2. Step 2: Convert to fraction form
    30,014.33/45,021.51 = 7,827.68/x
  3. Step 3: Cross multiply
    30,014.33x = 45,021.51 × 7,827.68
  4. Step 4: Simplify right side
    30,014.33x = 352,413,748.29
  5. Step 5: Solve for x
    x = 352,413,748.29/30,014.33
  6. Step 6: Final answer
    x = 11,741.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.