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Finding the Fourth Proportional to 26,271, 39,422.90 and 10,688.63

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Solution

The fourth proportional to 26,271, 39,422.90 and 10,688.63 is: 16,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,271 : 39,422.90 = 10,688.63 : x
  2. Step 2: Convert to fraction form
    26,271/39,422.90 = 10,688.63/x
  3. Step 3: Cross multiply
    26,271x = 39,422.90 × 10,688.63
  4. Step 4: Simplify right side
    26,271x = 421,376,621.23
  5. Step 5: Solve for x
    x = 421,376,621.23/26,271
  6. Step 6: Final answer
    x = 16,039.61

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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.