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Finding the Fourth Proportional to 8,365.24, 11,536.80 and 7,042

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Solution

The fourth proportional to 8,365.24, 11,536.80 and 7,042 is: 9,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.24 : 11,536.80 = 7,042 : x
  2. Step 2: Convert to fraction form
    8,365.24/11,536.80 = 7,042/x
  3. Step 3: Cross multiply
    8,365.24x = 11,536.80 × 7,042
  4. Step 4: Simplify right side
    8,365.24x = 81,242,145.60
  5. Step 5: Solve for x
    x = 81,242,145.60/8,365.24
  6. Step 6: Final answer
    x = 9,711.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.