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Finding the Fourth Proportional to 17,411.22, 26,128.26 and 10,386

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Solution

The fourth proportional to 17,411.22, 26,128.26 and 10,386 is: 15,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.22 : 26,128.26 = 10,386 : x
  2. Step 2: Convert to fraction form
    17,411.22/26,128.26 = 10,386/x
  3. Step 3: Cross multiply
    17,411.22x = 26,128.26 × 10,386
  4. Step 4: Simplify right side
    17,411.22x = 271,368,108.36
  5. Step 5: Solve for x
    x = 271,368,108.36/17,411.22
  6. Step 6: Final answer
    x = 15,585.82

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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.