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Finding the Fourth Proportional to 39,010, 58,515 and 11,308.24

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Solution

The fourth proportional to 39,010, 58,515 and 11,308.24 is: 16,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,010 : 58,515 = 11,308.24 : x
  2. Step 2: Convert to fraction form
    39,010/58,515 = 11,308.24/x
  3. Step 3: Cross multiply
    39,010x = 58,515 × 11,308.24
  4. Step 4: Simplify right side
    39,010x = 661,701,663.60
  5. Step 5: Solve for x
    x = 661,701,663.60/39,010
  6. Step 6: Final answer
    x = 16,962.36

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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.