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Finding the Fourth Proportional to 20,572.81, 30,835.91 and 9,456.55

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Solution

The fourth proportional to 20,572.81, 30,835.91 and 9,456.55 is: 14,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.81 : 30,835.91 = 9,456.55 : x
  2. Step 2: Convert to fraction form
    20,572.81/30,835.91 = 9,456.55/x
  3. Step 3: Cross multiply
    20,572.81x = 30,835.91 × 9,456.55
  4. Step 4: Simplify right side
    20,572.81x = 291,601,271.26
  5. Step 5: Solve for x
    x = 291,601,271.26/20,572.81
  6. Step 6: Final answer
    x = 14,174.11

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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.