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Finding the Fourth Proportional to 19,421.96, 29,128.58 and 7,576

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Solution

The fourth proportional to 19,421.96, 29,128.58 and 7,576 is: 11,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421.96 : 29,128.58 = 7,576 : x
  2. Step 2: Convert to fraction form
    19,421.96/29,128.58 = 7,576/x
  3. Step 3: Cross multiply
    19,421.96x = 29,128.58 × 7,576
  4. Step 4: Simplify right side
    19,421.96x = 220,678,122.08
  5. Step 5: Solve for x
    x = 220,678,122.08/19,421.96
  6. Step 6: Final answer
    x = 11,362.30

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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.