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Finding the Fourth Proportional to 30,041.42, 45,051.36 and 8,977.54

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Solution

The fourth proportional to 30,041.42, 45,051.36 and 8,977.54 is: 13,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.42 : 45,051.36 = 8,977.54 : x
  2. Step 2: Convert to fraction form
    30,041.42/45,051.36 = 8,977.54/x
  3. Step 3: Cross multiply
    30,041.42x = 45,051.36 × 8,977.54
  4. Step 4: Simplify right side
    30,041.42x = 404,450,324.63
  5. Step 5: Solve for x
    x = 404,450,324.63/30,041.42
  6. Step 6: Final answer
    x = 13,463.09

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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.