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Finding the Fourth Proportional to 26,434, 36,478.92 and 15,825.16

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Solution

The fourth proportional to 26,434, 36,478.92 and 15,825.16 is: 21,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434 : 36,478.92 = 15,825.16 : x
  2. Step 2: Convert to fraction form
    26,434/36,478.92 = 15,825.16/x
  3. Step 3: Cross multiply
    26,434x = 36,478.92 × 15,825.16
  4. Step 4: Simplify right side
    26,434x = 577,284,745.63
  5. Step 5: Solve for x
    x = 577,284,745.63/26,434
  6. Step 6: Final answer
    x = 21,838.72

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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.