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Finding the Fourth Proportional to 29,030.49, 43,542.50 and 7,972.11

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Solution

The fourth proportional to 29,030.49, 43,542.50 and 7,972.11 is: 11,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,030.49 : 43,542.50 = 7,972.11 : x
  2. Step 2: Convert to fraction form
    29,030.49/43,542.50 = 7,972.11/x
  3. Step 3: Cross multiply
    29,030.49x = 43,542.50 × 7,972.11
  4. Step 4: Simplify right side
    29,030.49x = 347,125,559.81
  5. Step 5: Solve for x
    x = 347,125,559.81/29,030.49
  6. Step 6: Final answer
    x = 11,957.28

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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.