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Finding the Fourth Proportional to 29,064, 43,596.40 and 8,287.50

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Solution

The fourth proportional to 29,064, 43,596.40 and 8,287.50 is: 12,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,064 : 43,596.40 = 8,287.50 : x
  2. Step 2: Convert to fraction form
    29,064/43,596.40 = 8,287.50/x
  3. Step 3: Cross multiply
    29,064x = 43,596.40 × 8,287.50
  4. Step 4: Simplify right side
    29,064x = 361,305,165
  5. Step 5: Solve for x
    x = 361,305,165/29,064
  6. Step 6: Final answer
    x = 12,431.36

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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.