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Finding the Fourth Proportional to 29,148, 40,224.24 and 15,900

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Solution

The fourth proportional to 29,148, 40,224.24 and 15,900 is: 21,942

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,148 : 40,224.24 = 15,900 : x
  2. Step 2: Convert to fraction form
    29,148/40,224.24 = 15,900/x
  3. Step 3: Cross multiply
    29,148x = 40,224.24 × 15,900
  4. Step 4: Simplify right side
    29,148x = 639,565,416
  5. Step 5: Solve for x
    x = 639,565,416/29,148
  6. Step 6: Final answer
    x = 21,942

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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.