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Finding the Fourth Proportional to 26,386, 39,578.64 and 10,598

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Solution

The fourth proportional to 26,386, 39,578.64 and 10,598 is: 15,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,386 : 39,578.64 = 10,598 : x
  2. Step 2: Convert to fraction form
    26,386/39,578.64 = 10,598/x
  3. Step 3: Cross multiply
    26,386x = 39,578.64 × 10,598
  4. Step 4: Simplify right side
    26,386x = 419,454,426.72
  5. Step 5: Solve for x
    x = 419,454,426.72/26,386
  6. Step 6: Final answer
    x = 15,896.86

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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.