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Finding the Fourth Proportional to 20,902.36, 31,357.86 and 7,051

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Solution

The fourth proportional to 20,902.36, 31,357.86 and 7,051 is: 10,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.36 : 31,357.86 = 7,051 : x
  2. Step 2: Convert to fraction form
    20,902.36/31,357.86 = 7,051/x
  3. Step 3: Cross multiply
    20,902.36x = 31,357.86 × 7,051
  4. Step 4: Simplify right side
    20,902.36x = 221,104,270.86
  5. Step 5: Solve for x
    x = 221,104,270.86/20,902.36
  6. Step 6: Final answer
    x = 10,577.96

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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.