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Finding the Fourth Proportional to 30,032.73, 45,051.48 and 8,971.22

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Solution

The fourth proportional to 30,032.73, 45,051.48 and 8,971.22 is: 13,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.73 : 45,051.48 = 8,971.22 : x
  2. Step 2: Convert to fraction form
    30,032.73/45,051.48 = 8,971.22/x
  3. Step 3: Cross multiply
    30,032.73x = 45,051.48 × 8,971.22
  4. Step 4: Simplify right side
    30,032.73x = 404,166,851.03
  5. Step 5: Solve for x
    x = 404,166,851.03/30,032.73
  6. Step 6: Final answer
    x = 13,457.55

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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.