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Finding the Fourth Proportional to 29,200, 40,296.18 and 15,952

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Solution

The fourth proportional to 29,200, 40,296.18 and 15,952 is: 22,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200 : 40,296.18 = 15,952 : x
  2. Step 2: Convert to fraction form
    29,200/40,296.18 = 15,952/x
  3. Step 3: Cross multiply
    29,200x = 40,296.18 × 15,952
  4. Step 4: Simplify right side
    29,200x = 642,804,663.36
  5. Step 5: Solve for x
    x = 642,804,663.36/29,200
  6. Step 6: Final answer
    x = 22,013.86

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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.